cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A291820 G.f. A(x,y) satisfies: A( x - x*y*A(x,y), y) = x + x*(1-y)*A(x,y), where the coefficients T(n,k) of x^n*y^k form a triangle read by rows n>=1, for k=0..n-1.

Table of values

n a(n)
1 1
2 1
3 0
4 1
5 2
6 0
7 1
8 7
9 5
10 0
11 1
12 16
13 38
14 14
15 0
16 1
17 30
18 157
19 189
20 42
21 0
22 1
23 50
24 477
25 1245
26 904
27 132
28 0
29 1
30 77
31 1197
32 5616
33 8791
34 4242
35 429
36 0
37 1
38 112
39 2632
40 19881
41 55566
42 57854
43 19723
44 1430
45 0
46 1
47 156
48 5250
49 59327
50 265204
51 491947
52 363880
53 91366
54 4862
55 0
56 1
57 210
58 9714
59 155783
60 1035442
61 3062271
62 4039551
63 2220933
64 423124
65 16796
66 0
67 1
68 275
69 16929
70 370205
71 3472513
72 15217674
73 31979723
74 31463341
75 13285415
76 1963169
77 58786
78 0
79 1
80 352
81 28094
82 811877
83 10331673
84 63678254
85 197983540
86 310618856
87 235959185
88 78419541
89 9138416
90 208012
91 0

List of values

[1, 1, 0, 1, 2, 0, 1, 7, 5, 0, 1, 16, 38, 14, 0, 1, 30, 157, 189, 42, 0, 1, 50, 477, 1245, 904, 132, 0, 1, 77, 1197, 5616, 8791, 4242, 429, 0, 1, 112, 2632, 19881, 55566, 57854, 19723, 1430, 0, 1, 156, 5250, 59327, 265204, 491947, 363880, 91366, 4862, 0, 1, 210, 9714, 155783, 1035442, 3062271, 4039551, 2220933, 423124, 16796, 0, 1, 275, 16929, 370205, 3472513, 15217674, 31979723, 31463341, 13285415, 1963169, 58786, 0, 1, 352, 28094, 811877, 10331673, 63678254, 197983540, 310618856, 235959185, 78419541, 9138416, 208012, 0]