OFFSET
0,3
FORMULA
a(n) = Sum_{k=0..n} binomial(n,k)*A000587(2*n-k).
MATHEMATICA
Table[Exp[1] Sum[(-1)^k (k (k + 1))^n/k!, {k, 0, Infinity}], {n, 0, 18}]
Table[Sum[Binomial[n, k] BellB[2 n - k, -1], {k, 0, n}], {n, 0, 18}]
CROSSREFS
KEYWORD
sign
AUTHOR
Ilya Gutkovskiy, Jun 06 2019
STATUS
approved