A329113 - OEIS

%I #18 Dec 18 2024 21:01:01

%S 1,3,16,114,1013,10973,142980,2208958,39796747,822252765,19192927840,

%T 499725372072,14361189358332,451551559895244,15419952421504604,

%U 568327808746891014,22486286328779957223,950624702855155671101,42765431507866487733504,2039838152324158031743570

%N Row sums of A329058.

%F a(n) = binomial(1 + 3*n, n)*2F1([1, -n], [-1 - 3*n], 1 + n)/(1 + n), where 2F1 is the hypergeometric function.

%F a(n) ~ exp(3) * n^(n-1). - _Vaclav Kotesovec_, Nov 06 2019

%t Table[(Binomial[1+3n,n]Hypergeometric2F1[1,-n,-1-3n,1+n])/(1+n),{n,0,19}]

%Y Cf. A007318, A329058.

%K nonn

%O 0,2

%A _Stefano Spezia_, Nov 05 2019