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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.

A386616 a(n) = Sum_{k=0..n-1} binomial(6*k+1,k) * binomial(6*n-6*k,n-k-1).

Table of values

n a(n)
0 0
1 1
2 19
3 315
4 5000
5 77785
6 1196667
7 18282742
8 278031900
9 4214278350
10 63723788295
11 961789682008
12 14495501585664
13 218216042892175
14 3281961694927950
15 49322417450239980
16 740753733463215604
17 11118981305235476010
18 166821561372208253850
19 2501861335268901337425
20 37507747177968865536840

List of values

[0, 1, 19, 315, 5000, 77785, 1196667, 18282742, 278031900, 4214278350, 63723788295, 961789682008, 14495501585664, 218216042892175, 3281961694927950, 49322417450239980, 740753733463215604, 11118981305235476010, 166821561372208253850, 2501861335268901337425, 37507747177968865536840]

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

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