A329123 Row sums of A329060.

1, 5, 41, 420, 4986, 66810, 1002088, 16806508, 315407579, 6620028959, 154924624070, 4020925173996, 114962504927760, 3595318334723744, 122162584874240256, 4482358458470131580, 176643906831439963801, 7441446644628587378829, 333713924433617162053239, 15872723846851837735096664

Offset: 0

Author

Stefano Spezia, Nov 05 2019

Keywords

• nonn

Links

• Robert Israel, Table of n, a(n) for n = 0..386

Crossrefs

Cf. A007318, A329060.

Programs

Maple

f:= n -> simplify(binomial(3 + 5*n, n)*hypergeom([1, -n], [-3 - 5*n], 1 + n)/(1 + n)):
map(f, [$0..30]); # Robert Israel, Nov 13 2019

Mathematica

Table[(Binomial[3+5n, n]Hypergeometric2F1[1, -n, -3-5n, 1+n])/(1+n),{n,0,19}]

Formula

a(n) = binomial(3 + 5*n, n)*2F1([1, -n], [-3 - 5*n], 1 + n)/(1 + n), where 2F1 is the hypergeometric function.

a(n) ~ exp(5) * n^(n-1). - Vaclav Kotesovec, Nov 06 2019