OFFSET
0,2
FORMULA
a(n) = Sum_{k=0..n} (-1)^k * binomial(n,k) * A000670(2*n-k).
a(n) = 2 * A080163(n) for n > 0. - Hugo Pfoertner, Jan 23 2021
a(n) = A122101(2*n,n). - Alois P. Heinz, Jun 23 2023
MATHEMATICA
Table[(1/2) Sum[(k (k - 1))^n/2^k, {k, 0, Infinity}], {n, 0, 14}]
Table[(1/2) Sum[(-1)^k Binomial[n, k] HurwitzLerchPhi[1/2, k - 2 n, 0], {k, 0, n}], {n, 0, 14}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Jan 23 2021
STATUS
approved