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%I #14 Dec 18 2024 21:00:57
%S 1,5,41,420,4986,66810,1002088,16806508,315407579,6620028959,
%T 154924624070,4020925173996,114962504927760,3595318334723744,
%U 122162584874240256,4482358458470131580,176643906831439963801,7441446644628587378829,333713924433617162053239,15872723846851837735096664
%N Row sums of A329060.
%H Robert Israel, <a href="/A329123/b329123.txt">Table of n, a(n) for n = 0..386</a>
%F a(n) = binomial(3 + 5*n, n)*2F1([1, -n], [-3 - 5*n], 1 + n)/(1 + n), where 2F1 is the hypergeometric function.
%F a(n) ~ exp(5) * n^(n-1). - _Vaclav Kotesovec_, Nov 06 2019
%p f:= n -> simplify(binomial(3 + 5*n, n)*hypergeom([1, -n], [-3 - 5*n], 1 + n)/(1 + n)):
%p map(f, [$0..30]); # _Robert Israel_, Nov 13 2019
%t Table[(Binomial[3+5n, n]Hypergeometric2F1[1, -n, -3-5n, 1+n])/(1+n),{n,0,19}]
%Y Cf. A007318, A329060.
%K nonn
%O 0,2
%A _Stefano Spezia_, Nov 05 2019