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
KEYWORD
nonn
AUTHOR
Stefano Spezia, Nov 05 2019
STATUS
approved