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.

A278415 a(n) = Sum_{k=0..n} binomial(n, 2k)*binomial(n-k, k)*(-1)^k.

Table of values

n a(n)
0 1
1 1
2 0
3 -5
4 -16
5 -24
6 15
7 197
8 576
9 724
10 -1200
11 -8832
12 -22801
13 -21293
14 76440
15 408795
16 922368
17 499104
18 -4446588
19 -19025060
20 -37012416
21 -1673992
22 245604832
23 880263936
24 1441226991
25 -908700649
26 -13088509200
27 -40222012703
28 -52991533744
29 88167061704
30 678172355415
31 1805175708261
32 1747974632448
33 -6237554623536
34 -34300087628480

List of values

[1, 1, 0, -5, -16, -24, 15, 197, 576, 724, -1200, -8832, -22801, -21293, 76440, 408795, 922368, 499104, -4446588, -19025060, -37012416, -1673992, 245604832, 880263936, 1441226991, -908700649, -13088509200, -40222012703, -52991533744, 88167061704, 678172355415, 1805175708261, 1747974632448, -6237554623536, -34300087628480]