OFFSET
0,2
FORMULA
a(n) = Sum_{k=0..n} binomial(n,k) * A000670(2*n-k) * n^k.
MATHEMATICA
Table[(1/2) Sum[(k (k + n))^n/2^k, {k, 0, Infinity}], {n, 0, 14}]
Join[{1}, Table[(1/2) Sum[Binomial[n, k] HurwitzLerchPhi[1/2, k - 2 n, 0] n^k, {k, 0, n}], {n, 1, 14}]]
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Jan 23 2021
STATUS
approved