OFFSET
0,2
FORMULA
a(n) = n! * [x^n] exp(n*x) / (2 - exp(2*x)).
a(n) = Sum_{k=0..n} binomial(n,k) * n^k * A216794(n-k).
MATHEMATICA
Table[2^(n - 1) HurwitzLerchPhi[1/2, -n, n/2], {n, 0, 17}]
Table[n! SeriesCoefficient[Exp[n x]/(2 - Exp[2 x]), {x, 0, n}], {n, 0, 17}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Aug 11 2020
STATUS
approved