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.

A375565 a(n) = Sum_{k=0..floor(n/3)} (n-2*k+1) * binomial(n-2*k,k)^2.

Table of values

n a(n)
0 1
1 2
2 3
3 6
4 17
5 42
6 90
7 194
8 441
9 1006
10 2242
11 4950
12 10974
13 24376
14 53961
15 119048
16 262337
17 577782
18 1271117
19 2792718
20 6129342
21 13441616
22 29454517
23 64492800
24 141108878
25 308542280
26 674238780
27 1472532300
28 3214268735
29 7012637490
30 15292425923
31 33333338466
32 72627184389

List of values

[1, 2, 3, 6, 17, 42, 90, 194, 441, 1006, 2242, 4950, 10974, 24376, 53961, 119048, 262337, 577782, 1271117, 2792718, 6129342, 13441616, 29454517, 64492800, 141108878, 308542280, 674238780, 1472532300, 3214268735, 7012637490, 15292425923, 33333338466, 72627184389]