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.

A360051 a(n) = Sum_{k=0..floor(n/5)} (-1)^k * binomial(n+4,5*k+4) * Catalan(k).

Table of values

n a(n)
0 1
1 5
2 15
3 35
4 70
5 125
6 200
7 275
8 275
9 0
10 -999
11 -3610
12 -9380
13 -20570
14 -39440
15 -65251
16 -85695
17 -56435
18 141735
19 781770
20 2413128
21 5999325
22 12921350
23 24387900
24 39098925
25 46638744
26 11740695
27 -158571665
28 -674961760
29 -1956733020
30 -4724183860
31 -9957286550
32 -18316004575

List of values

[1, 5, 15, 35, 70, 125, 200, 275, 275, 0, -999, -3610, -9380, -20570, -39440, -65251, -85695, -56435, 141735, 781770, 2413128, 5999325, 12921350, 24387900, 39098925, 46638744, 11740695, -158571665, -674961760, -1956733020, -4724183860, -9957286550, -18316004575]