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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.

A352653 a(n) = Sum_{k = 0..n-1} binomial(n,k)*binomial(n-1,k)*binomial(n+k,k)*binomial(n-1+k,k).

Table of values

n a(n)
0 0
1 1
2 13
3 253
4 5741
5 142001
6 3713305
7 100961365
8 2825369965
9 80843126905
10 2354354542013
11 69555586698533
12 2079506849058809
13 62797822901091409
14 1912714261589863633
15 58691012753161717253
16 1812592783819686728045
17 56298976785759622597385
18 1757493098495181029912485

List of values

[0, 1, 13, 253, 5741, 142001, 3713305, 100961365, 2825369965, 80843126905, 2354354542013, 69555586698533, 2079506849058809, 62797822901091409, 1912714261589863633, 58691012753161717253, 1812592783819686728045, 56298976785759622597385, 1757493098495181029912485]

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

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