OFFSET
0,3
LINKS
Eric Weisstein's World of Mathematics, Complementary Bell Number
FORMULA
a(n) = Sum_{k=0..2*n+1} (-1)^k*Stirling2(2*n+1,k).
a(n) = A000587(2*n+1).
MATHEMATICA
Table[Exp[1] Sum[(-1)^k k^(2 n + 1)/k!, {k, 0, Infinity}], {n, 0, 19}]
Table[BellB[2 n + 1, -1], {n, 0, 19}]
CROSSREFS
KEYWORD
sign
AUTHOR
Ilya Gutkovskiy, Jun 13 2019
STATUS
approved