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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.

A378567 a(n) = Sum_{k=0..n} binomial(n+k-1,k) * binomial(n+3*k-1,n-k).

Table of values

n a(n)
0 1
1 1
2 11
3 88
4 715
5 5951
6 50288
7 429696
8 3702987
9 32125390
10 280211701
11 2454992618
12 21588647392
13 190444368401
14 1684556756320
15 14935618142768
16 132695019071499
17 1181070210132582
18 10529299131757754
19 94005323670592130
20 840373149466892965
21 7521508912742542806

List of values

[1, 1, 11, 88, 715, 5951, 50288, 429696, 3702987, 32125390, 280211701, 2454992618, 21588647392, 190444368401, 1684556756320, 14935618142768, 132695019071499, 1181070210132582, 10529299131757754, 94005323670592130, 840373149466892965, 7521508912742542806]

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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