OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..100
FORMULA
a(n) ~ (2n)!/(log(2))^(2*n+1).
a(n) = Sum_{k=0..2*n} (-2)^k * k! * Stirling2(2*n, k). - Paul D. Hanna, Apr 15 2018
a(n) = A000629(2*n). - Christian Krause, Nov 22 2022
MATHEMATICA
Table[Sum[k^(2*n)/(2^k), {k, 1, Infinity}], {n, 0, 20}]
a[n_] := PolyLog[-2 n, 1/2]; a[0] = 1; Array[a, 15, 0] (* Peter Luschny, Sep 06 2020 *)
PROG
(PARI) {a(n) = sum(k=0, 2*n, (-2)^k * k! * stirling(2*n, k, 2) )}
for(n=0, 20, print1(a(n), ", "))
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Jun 29 2013
STATUS
approved