Skip to content

Commit d30934e

Browse files
PeterLuschnyPeterLuschny
committed
multi
1 parent 0e90fda commit d30934e

47 files changed

Lines changed: 1435 additions & 752 deletions

Some content is hidden

Large Commits have some content hidden by default. Use the searchbox below for content that may be hidden.

‎Project.toml‎

Lines changed: 1 addition & 1 deletion
Original file line numberDiff line numberDiff line change
@@ -1,7 +1,7 @@
11
name = "IntegerTriangles"
22
uuid = "715aea54-2823-4197-8122-618b5e027a3f"
33
authors = ["Peter Luschny"]
4-
version = "0.2.2"
4+
version = "0.2.2dev"
55

66
[deps]
77
AbstractAlgebra = "c3fe647b-3220-5bb0-a1ea-a7954cac585d"

‎docs/make.jl‎

Lines changed: 4 additions & 1 deletion
Original file line numberDiff line numberDiff line change
@@ -16,6 +16,7 @@ makedocs(
1616
"Library" => "index.md",
1717
"Modules" => "modules.md",
1818
"Aitken" => "Aitken.md",
19+
"Bessel1" => "Bessel1.md",
1920
"Binomial" => "Binomial.md",
2021
"Catalan" => "Catalan.md",
2122
"DArcais" => "DArcais.md",
@@ -24,11 +25,12 @@ makedocs(
2425
"EulerSec" => "EulerS.md",
2526
"EulerTan" => "EulerT.md",
2627
"Eulerian" => "Eulerian.md",
27-
"EulerianS2" => "EulerianS2.md",
28+
"EulerianSO2" => "EulerianSO2.md",
2829
"FallingFact" => "FallingFact.md",
2930
"Fibonacci" => "Fibonacci.md",
3031
"Fine" => "Fine.md",
3132
"Fubini" => "Fubini.md",
33+
"Hermite" => "Hermite.md",
3234
"Laguerre" => "Laguerre.md",
3335
"Lah" => "Lah.md",
3436
"Motzkin" => "Motzkin.md",
@@ -39,6 +41,7 @@ makedocs(
3941
"SchroederLittle" => "SchroederL.md",
4042
"StirlingCycle" => "StirlingCycle.md",
4143
"StirlingSet" => "StirlingSet.md",
44+
"Trinomial" => "Trinomial.md",
4245
"TTree" => "TTree.md",
4346
"Uni" => "Uni.md",
4447
"Worpitzky" => "Worpitzky.md"

‎docs/src/A046802.md‎

Lines changed: 147 additions & 0 deletions
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,147 @@
1+
```@raw html
2+
<style> table, td, th {border-collapse: collapse; font-family: sans-serif; color: blue;}
3+
td, th {border-bottom: 0; padding: 4px}
4+
tr:nth-child(odd) {background: #eee;}
5+
tr:nth-child(even) {background: #fff;}
6+
tr.header {background: orange !important; color: white; font-weight: bold;}
7+
tr.subheader {background: lightgray !important; color: black;}
8+
tr.headerLastRow {border-bottom: 2px solid black;}
9+
th.rowNumber, td.rowNumber {text-align: right;} </style><body>
10+
<table>
11+
<tr class = "header headerLastRow">
12+
<th style = "text-align: left;">Trait</th>
13+
<th style = "text-align: left;">ANumber</th>
14+
<th style = "text-align: left;">Sequence</th>
15+
</tr>
16+
<tr>
17+
<td style = "text-align: left;">A046802</td>
18+
<td style = "text-align: left;"></td>
19+
<td style = "text-align: left;"></td>
20+
</tr>
21+
<tr>
22+
<td style = "text-align: left;">Flat </td>
23+
<td style = "text-align: left;"><a href='https://oeis.org/A046802'>A046802</a></td>
24+
<td style = "text-align: left;">1, 1, 1, 1, 3, 1, 1, 7, 7, 1</td>
25+
</tr>
26+
<tr>
27+
<td style = "text-align: left;">Reverse </td>
28+
<td style = "text-align: left;"><a href='https://oeis.org/A046802'>A046802</a></td>
29+
<td style = "text-align: left;">1, 1, 1, 1, 3, 1, 1, 7, 7, 1</td>
30+
</tr>
31+
<tr>
32+
<td style = "text-align: left;">Inverse </td>
33+
<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 -1 1 2 -3 1 -8 14 -7 1 ]'>nomatch</a></td>
34+
<td style = "text-align: left;">1, -1, 1, 2, -3, 1, -8, 14, -7, 1</td>
35+
</tr>
36+
<tr>
37+
<td style = "text-align: left;">RevInv </td>
38+
<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 1 -1 1 -3 2 1 -7 14 -8 ]'>nomatch</a></td>
39+
<td style = "text-align: left;">1, 1, -1, 1, -3, 2, 1, -7, 14, -8</td>
40+
</tr>
41+
<tr>
42+
<td style = "text-align: left;">InvRev </td>
43+
<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 -1 1 2 -3 1 -8 14 -7 1 ]'>nomatch</a></td>
44+
<td style = "text-align: left;">1, -1, 1, 2, -3, 1, -8, 14, -7, 1</td>
45+
</tr>
46+
<tr>
47+
<td style = "text-align: left;">DiagTri </td>
48+
<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 1 1 1 1 3 1 7 1 1 ]'>nomatch</a></td>
49+
<td style = "text-align: left;">1, 1, 1, 1, 1, 3, 1, 7, 1, 1</td>
50+
</tr>
51+
<tr>
52+
<td style = "text-align: left;">PolyTri </td>
53+
<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 1 1 1 2 1 1 5 3 1 ]'>nomatch</a></td>
54+
<td style = "text-align: left;">1, 1, 1, 1, 2, 1, 1, 5, 3, 1</td>
55+
</tr>
56+
<tr>
57+
<td style = "text-align: left;">sum </td>
58+
<td style = "text-align: left;"><a href='https://oeis.org/A000522'>A000522</a></td>
59+
<td style = "text-align: left;">1, 2, 5, 16, 65, 326, 1957, 13700, 109601, 986410</td>
60+
</tr>
61+
<tr>
62+
<td style = "text-align: left;">EvenSum </td>
63+
<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 1 2 8 35 163 948 6850 55493 493205 ]'>nomatch</a></td>
64+
<td style = "text-align: left;">1, 1, 2, 8, 35, 163, 948, 6850, 55493, 493205</td>
65+
</tr>
66+
<tr>
67+
<td style = "text-align: left;">OddSum </td>
68+
<td style = "text-align: left;"><a href='https://oeis.org/?q=[0 1 3 8 30 163 1009 6850 54108 493205 ]'>nomatch</a></td>
69+
<td style = "text-align: left;">0, 1, 3, 8, 30, 163, 1009, 6850, 54108, 493205</td>
70+
</tr>
71+
<tr>
72+
<td style = "text-align: left;">AltSum </td>
73+
<td style = "text-align: left;"><a href='https://oeis.org/A122045'>A122045</a></td>
74+
<td style = "text-align: left;">1, 0, -1, 0, 5, 0, -61, 0, 1385, 0</td>
75+
</tr>
76+
<tr>
77+
<td style = "text-align: left;">DiagSum </td>
78+
<td style = "text-align: left;"><a href='https://oeis.org/A026898'>A026898</a></td>
79+
<td style = "text-align: left;">1, 1, 2, 4, 9, 23, 66, 210, 733, 2781</td>
80+
</tr>
81+
<tr>
82+
<td style = "text-align: left;">Middle </td>
83+
<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 1 3 7 33 131 883 5111 44929 344551 ]'>nomatch</a></td>
84+
<td style = "text-align: left;">1, 1, 3, 7, 33, 131, 883, 5111, 44929, 344551</td>
85+
</tr>
86+
<tr>
87+
<td style = "text-align: left;">Central </td>
88+
<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 3 33 883 44929 3730251 459319105 78642513251 17873822497281 5207194112167963 ]'>nomatch</a></td>
89+
<td style = "text-align: left;">1, 3, 33, 883, 44929, 3730251, 459319105, 78642513251, 17873822497281, 5207194112167963</td>
90+
</tr>
91+
<tr>
92+
<td style = "text-align: left;">LeftSide </td>
93+
<td style = "text-align: left;"><a href='https://oeis.org/A000012'>A000012</a></td>
94+
<td style = "text-align: left;">1, 1, 1, 1, 1, 1, 1, 1, 1, 1</td>
95+
</tr>
96+
<tr>
97+
<td style = "text-align: left;">RightSide </td>
98+
<td style = "text-align: left;"><a href='https://oeis.org/A000012'>A000012</a></td>
99+
<td style = "text-align: left;">1, 1, 1, 1, 1, 1, 1, 1, 1, 1</td>
100+
</tr>
101+
<tr>
102+
<td style = "text-align: left;">PosHalf </td>
103+
<td style = "text-align: left;"><a href='https://oeis.org/A007047'>A007047</a></td>
104+
<td style = "text-align: left;">1, 3, 11, 51, 299, 2163, 18731, 189171, 2183339, 28349043</td>
105+
</tr>
106+
<tr>
107+
<td style = "text-align: left;">NegHalf </td>
108+
<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 -1 -1 7 -1 -121 319 3527 -26881 -123641 ]'>nomatch</a></td>
109+
<td style = "text-align: left;">1, -1, -1, 7, -1, -121, 319, 3527, -26881, -123641</td>
110+
</tr>
111+
<tr>
112+
<td style = "text-align: left;">PolyVal2 </td>
113+
<td style = "text-align: left;"><a href='https://oeis.org/A007047'>A007047</a></td>
114+
<td style = "text-align: left;">1, 3, 11, 51, 299, 2163, 18731, 189171, 2183339, 28349043</td>
115+
</tr>
116+
<tr>
117+
<td style = "text-align: left;">PolyVal3 </td>
118+
<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 4 19 112 829 7564 82639 1053112 15337369 251292244 ]'>nomatch</a></td>
119+
<td style = "text-align: left;">1, 4, 19, 112, 829, 7564, 82639, 1053112, 15337369, 251292244</td>
120+
</tr>
121+
<tr>
122+
<td style = "text-align: left;">BinTrans </td>
123+
<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 2 8 44 320 2932 32608 427212 6446336 110104676 ]'>nomatch</a></td>
124+
<td style = "text-align: left;">1, 2, 8, 44, 320, 2932, 32608, 427212, 6446336, 110104676</td>
125+
</tr>
126+
<tr>
127+
<td style = "text-align: left;">IBinTrans </td>
128+
<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 0 -4 0 80 0 -4224 0 435200 0 ]'>nomatch</a></td>
129+
<td style = "text-align: left;">1, 0, -4, 0, 80, 0, -4224, 0, 435200, 0</td>
130+
</tr>
131+
<tr>
132+
<td style = "text-align: left;">TransSqrs </td>
133+
<td style = "text-align: left;"><a href='https://oeis.org/?q=[0 1 7 44 298 2255 19081 179242 1854084 20961213 ]'>nomatch</a></td>
134+
<td style = "text-align: left;">0, 1, 7, 44, 298, 2255, 19081, 179242, 1854084, 20961213</td>
135+
</tr>
136+
<tr>
137+
<td style = "text-align: left;">TransNat0 </td>
138+
<td style = "text-align: left;"><a href='https://oeis.org/A036919'>A036919</a></td>
139+
<td style = "text-align: left;">0, 1, 5, 24, 130, 815, 5871, 47950, 438404, 4438845</td>
140+
</tr>
141+
<tr>
142+
<td style = "text-align: left;">TransNat1 </td>
143+
<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 3 10 40 195 1141 7828 61650 548005 5425255 ]'>nomatch</a></td>
144+
<td style = "text-align: left;">1, 3, 10, 40, 195, 1141, 7828, 61650, 548005, 5425255</td>
145+
</tr>
146+
</table>
147+
```

‎docs/src/Aitken.md‎

Lines changed: 11 additions & 11 deletions
Original file line numberDiff line numberDiff line change
@@ -30,12 +30,12 @@ th.rowNumber, td.rowNumber {text-align: right;} </style><body>
3030
</tr>
3131
<tr>
3232
<td style = "text-align: left;">DiagTri </td>
33-
<td style = "text-align: left;"><a href='https://oeis.org/?q=1,1,2,2,5,3,15,7,5,52,'>nomatch</a></td>
33+
<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 1 2 2 5 3 15 7 5 52 ]'>nomatch</a></td>
3434
<td style = "text-align: left;">1, 1, 2, 2, 5, 3, 15, 7, 5, 52</td>
3535
</tr>
3636
<tr>
3737
<td style = "text-align: left;">PolyTri </td>
38-
<td style = "text-align: left;"><a href='https://oeis.org/?q=1,1,1,2,3,1,5,10,5,1,'>nomatch</a></td>
38+
<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 1 1 2 3 1 5 10 5 1 ]'>nomatch</a></td>
3939
<td style = "text-align: left;">1, 1, 1, 2, 3, 1, 5, 10, 5, 1</td>
4040
</tr>
4141
<tr>
@@ -45,22 +45,22 @@ th.rowNumber, td.rowNumber {text-align: right;} </style><body>
4545
</tr>
4646
<tr>
4747
<td style = "text-align: left;">EvenSum </td>
48-
<td style = "text-align: left;"><a href='https://oeis.org/?q=1,1,7,15,94,290,1925,7541,54217,254189,'>nomatch</a></td>
48+
<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 1 7 15 94 290 1925 7541 54217 254189 ]'>nomatch</a></td>
4949
<td style = "text-align: left;">1, 1, 7, 15, 94, 290, 1925, 7541, 54217, 254189</td>
5050
</tr>
5151
<tr>
5252
<td style = "text-align: left;">OddSum </td>
53-
<td style = "text-align: left;"><a href='https://oeis.org/?q=0,2,3,22,57,384,1338,9466,40611,308406,'>nomatch</a></td>
53+
<td style = "text-align: left;"><a href='https://oeis.org/?q=[0 2 3 22 57 384 1338 9466 40611 308406 ]'>nomatch</a></td>
5454
<td style = "text-align: left;">0, 2, 3, 22, 57, 384, 1338, 9466, 40611, 308406</td>
5555
</tr>
5656
<tr>
5757
<td style = "text-align: left;">AltSum </td>
58-
<td style = "text-align: left;"><a href='https://oeis.org/?q=1,1,4,7,37,94,587,1925,13606,54217,'>nomatch</a></td>
58+
<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 -1 4 -7 37 -94 587 -1925 13606 -54217 ]'>nomatch</a></td>
5959
<td style = "text-align: left;">1, -1, 4, -7, 37, -94, 587, -1925, 13606, -54217</td>
6060
</tr>
6161
<tr>
6262
<td style = "text-align: left;">DiagSum </td>
63-
<td style = "text-align: left;"><a href='https://oeis.org/?q=1,1,4,8,27,82,312,1256,5708,28059,'>nomatch</a></td>
63+
<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 1 4 8 27 82 312 1256 5708 28059 ]'>nomatch</a></td>
6464
<td style = "text-align: left;">1, 1, 4, 8, 27, 82, 312, 1256, 5708, 28059</td>
6565
</tr>
6666
<tr>
@@ -85,12 +85,12 @@ th.rowNumber, td.rowNumber {text-align: right;} </style><body>
8585
</tr>
8686
<tr>
8787
<td style = "text-align: left;">PosHalf </td>
88-
<td style = "text-align: left;"><a href='https://oeis.org/?q=1,4,19,103,634,4393,33893,288158,2674849,26888251,'>nomatch</a></td>
88+
<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 4 19 103 634 4393 33893 288158 2674849 26888251 ]'>nomatch</a></td>
8989
<td style = "text-align: left;">1, 4, 19, 103, 634, 4393, 33893, 288158, 2674849, 26888251</td>
9090
</tr>
9191
<tr>
9292
<td style = "text-align: left;">NegHalf </td>
93-
<td style = "text-align: left;"><a href='https://oeis.org/?q=1,0,7,17,166,931,8333,67902,668341,6733957,'>nomatch</a></td>
93+
<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 0 7 -17 166 -931 8333 -67902 668341 -6733957 ]'>nomatch</a></td>
9494
<td style = "text-align: left;">1, 0, 7, -17, 166, -931, 8333, -67902, 668341, -6733957</td>
9595
</tr>
9696
<tr>
@@ -100,7 +100,7 @@ th.rowNumber, td.rowNumber {text-align: right;} </style><body>
100100
</tr>
101101
<tr>
102102
<td style = "text-align: left;">PolyVal3 </td>
103-
<td style = "text-align: left;"><a href='https://oeis.org/?q=1,7,56,521,5529,65674,860387,12290251,189680754,3139572183,'>nomatch</a></td>
103+
<td style = "text-align: left;"><a href='https://oeis.org/?q=[1 7 56 521 5529 65674 860387 12290251 189680754 3139572183 ]'>nomatch</a></td>
104104
<td style = "text-align: left;">1, 7, 56, 521, 5529, 65674, 860387, 12290251, 189680754, 3139572183</td>
105105
</tr>
106106
<tr>
@@ -115,12 +115,12 @@ th.rowNumber, td.rowNumber {text-align: right;} </style><body>
115115
</tr>
116116
<tr>
117117
<td style = "text-align: left;">TransSqrs </td>
118-
<td style = "text-align: left;"><a href='https://oeis.org/?q=0,2,23,182,1293,8932,62014,439442,3202127,24081458,'>nomatch</a></td>
118+
<td style = "text-align: left;"><a href='https://oeis.org/?q=[0 2 23 182 1293 8932 62014 439442 3202127 24081458 ]'>nomatch</a></td>
119119
<td style = "text-align: left;">0, 2, 23, 182, 1293, 8932, 62014, 439442, 3202127, 24081458</td>
120120
</tr>
121121
<tr>
122122
<td style = "text-align: left;">TransNat0 </td>
123-
<td style = "text-align: left;"><a href='https://oeis.org/?q=0,2,13,72,393,2202,12850,78488,502327,3366648,'>nomatch</a></td>
123+
<td style = "text-align: left;"><a href='https://oeis.org/?q=[0 2 13 72 393 2202 12850 78488 502327 3366648 ]'>nomatch</a></td>
124124
<td style = "text-align: left;">0, 2, 13, 72, 393, 2202, 12850, 78488, 502327, 3366648</td>
125125
</tr>
126126
<tr>

0 commit comments

Comments
 (0)