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.
%I A321957 #8 Feb 17 2024 15:17:50 %S A321957 0,4,42,382,3302,27824,230964,1898712,15505590,126025204,1020732722, %T A321957 8245721686,66477664088,535118039200,4302260308416,34556369687312, %U A321957 277350672112822,2224673611151996,17835746776558638,142937183041928874,1145145456194522262,9171991364052010176 %N A321957 a(n) = binomial(3*n, n + 1)*hypergeom([1, 1 - 2*n], [2 + n], -1). %F A321957 a(n) ~ 8^n. - _Vaclav Kotesovec_, Feb 17 2024 %p A321957 A321957 := n -> binomial(3*n, n+1)*hypergeom([1, 1 - 2*n], [2 + n], -1): %p A321957 [seq(A321957(n), n=0..21)]: simplify(%); %t A321957 Table[Binomial[3*n, n+1] * HypergeometricPFQ[{1, 1 - 2*n}, {2 + n}, -1], {n, 0, 20}] (* _Vaclav Kotesovec_, Feb 17 2024 *) %K A321957 nonn %O A321957 0,2 %A A321957 _Peter Luschny_, Nov 22 2018