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 A329113 #18 Dec 18 2024 21:01:01
%S A329113 1,3,16,114,1013,10973,142980,2208958,39796747,822252765,19192927840,
%T A329113 499725372072,14361189358332,451551559895244,15419952421504604,
%U A329113 568327808746891014,22486286328779957223,950624702855155671101,42765431507866487733504,2039838152324158031743570
%N A329113 Row sums of A329058.
%F A329113 a(n) = binomial(1 + 3*n, n)*2F1([1, -n], [-1 - 3*n], 1 + n)/(1 + n), where 2F1 is the hypergeometric function.
%F A329113 a(n) ~ exp(3) * n^(n-1). - _Vaclav Kotesovec_, Nov 06 2019
%t A329113 Table[(Binomial[1+3n,n]Hypergeometric2F1[1,-n,-1-3n,1+n])/(1+n),{n,0,19}]
%Y A329113 Cf. A007318, A329058.
%K A329113 nonn
%O A329113 0,2
%A A329113 _Stefano Spezia_, Nov 05 2019