OFFSET
0,3
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..100
FORMULA
From Vaclav Kotesovec, Mar 23 2016: (Start)
a(n) ~ 5^(4*n+1/2) * n!^5 / (Pi^2 * n^2 * 2^(3*n+5) * 3^n * (log(2))^(5*n+1)).
a(n) ~ sqrt(Pi) * 5^(4*n+1/2) * n^(5*n+1/2) / (2^(3*n+5/2) * 3^n * exp(5*n) * (log(2))^(5*n+1)).
(End)
MATHEMATICA
With[{r = 5}, Flatten[{1, Table[Sum[Sum[(-1)^i*Binomial[j, i]*Binomial[j - i, r]^k, {i, 0, j}], {j, 0, k*r}], {k, 1, 12}]}]] (* Vaclav Kotesovec, Mar 22 2016 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Oct 08 2015
STATUS
approved