OFFSET
0,2
FORMULA
a(n) ~ sqrt(1 + LambertW(exp(-1))) * 2^n * n^n / ((1 - LambertW(exp(-1))) * exp(n) * LambertW(exp(-1))^(n + 1/2)). - Vaclav Kotesovec, Jun 02 2023
MAPLE
a := n -> add(add(binomial(k, j)*(2*j + 1)^n, j=0..k)*2^(n-k), k=0..n):
seq(a(n), n = 0..17);
MATHEMATICA
Table[Sum[2^(n-k) * Sum[Binomial[k, j] * (2*j+1)^n, {j, 0, k}], {k, 0, n}], {n, 0, 20}] (* Vaclav Kotesovec, Jun 02 2023 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Peter Luschny, Jun 02 2023
STATUS
approved