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.

A143105 Let g_0(x,y)=x, g_1(x,y)=x^3+3xy and g_{n+2}(x,y) = (x^2+2y)g_{n+1}(x+y)-y^2g_n(x,y). The entries of the sequence are those odd d for which g_d(x,y) and cx^jy^kg_m(x,y) have at least two terms in common (same coefficients) for some c > 0 and integers j,k and such that g_d(x,y) + cx^jy^k(1+y^m - g_m(x,y)) has all positive coefficients.

Table of values

n a(n)
0 1
1 3
2 5
3 9
4 17
5 21
6 33
7 41
8 45
9 53
10 69
11 77
12 81
13 93
14 105
15 113
16 117
17 125
18 129
19 141
20 149
21 153
22 161
23 165
24 177
25 185
26 201
27 213
28 221
29 225
30 249
31 261
32 269
33 273
34 285
35 297
36 305
37 309
38 333
39 341
40 345
41 357
42 365
43 369
44 381
45 405
46 413
47 417
48 429
49 437
50 441
51 453
52 465
53 473
54 489
55 501

List of values

[1, 3, 5, 9, 17, 21, 33, 41, 45, 53, 69, 77, 81, 93, 105, 113, 117, 125, 129, 141, 149, 153, 161, 165, 177, 185, 201, 213, 221, 225, 249, 261, 269, 273, 285, 297, 305, 309, 333, 341, 345, 357, 365, 369, 381, 405, 413, 417, 429, 437, 441, 453, 465, 473, 489, 501]