OFFSET
0,2
FORMULA
a(n) ~ sqrt(1 + LambertW(exp(-1))) * n^n / ((1 - LambertW(exp(-1))) * exp(n) * LambertW(exp(-1))^(n+1)). - _Vaclav Kotesovec_, Jun 02 2023
MAPLE
a := n -> add(add(binomial(k, j)*(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] * (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