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

0,2

Links

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

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

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}]

Crossrefs

Cf. A007318, A329060.

Sequence in context: A199684 A177506 A064087 * A285064 A232685 A081215

Adjacent sequences: A329120 A329121 A329122 * A329124 A329125 A329126

Keyword

nonn

Author

Stefano Spezia, Nov 05 2019

Status

approved