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.

A305601 G.f. A(x) satisfies: [x^k] (1+x)^(n*(n+1)/2) * A(x) = 0 for k = n*(n-1)/2 + 1 through k = n*(n+1)/2 for n >= 1.

Table of values

n a(n)
0 1
1 -1
2 0
3 2
4 -7
5 21
6 -56
7 125
8 -209
9 154
10 572
11 -3404
12 11930
13 -35394
14 99144
15 -274550
16 757813
17 -2057867
18 5392764
19 -13383194
20 30829315
21 -63995085
22 112304664
23 -133488537
24 -70063101
25 1177164984
26 -5212740024
27 17744267816
28 -53365305260
29 149452146536
30 -401301906464
31 1053638673004
32 -2741495192679
33 7122821187935
34 -18514807074104
35 48019064944442
36 -123571120120435
37 313403811733896
38 -778001059367703
39 1877334690759250
40 -4370190271978998

List of values

[1, -1, 0, 2, -7, 21, -56, 125, -209, 154, 572, -3404, 11930, -35394, 99144, -274550, 757813, -2057867, 5392764, -13383194, 30829315, -63995085, 112304664, -133488537, -70063101, 1177164984, -5212740024, 17744267816, -53365305260, 149452146536, -401301906464, 1053638673004, -2741495192679, 7122821187935, -18514807074104, 48019064944442, -123571120120435, 313403811733896, -778001059367703, 1877334690759250, -4370190271978998]