OFFSET
0,5
COMMENTS
Stirling2 transform of A000587. 2nd Stirling2 transform of A033999. - Vladimir Reshetnikov, Oct 22 2015
LINKS
Robert Israel, Table of n, a(n) for n = 0..470
Eric Weisstein's MathWorld, Stirling Transform.
Eric Weisstein's MathWorld, Bell Polynomial.
FORMULA
EXAMPLE
E.g.f.: 1 - x - (1/2)*x^2 + (1/4)*x^4+(4/15)*x^5 + (23/144)*x^6 + (43/1260)*x^7 - (29/576)*x^8 - (9671/120960)*x^9 ...
G.f. = 1 - x - x^2 + 6*x^4 + 32*x^5 + 115*x^6 + 172*x^7 - 2030*x^8 - 29013*x^9 + ...
MAPLE
Egf:= 1/exp(exp(exp(x)-1)-1):
S:= series(Egf, x, 101):
seq(coeff(S, x, j)*j!, j=0..100); # Robert Israel, Oct 22 2015
MATHEMATICA
Table[Sum[BellY[n, k, -BellB[Range[n]]], {k, 0, n}], {n, 0, 23}] (* Vladimir Reshetnikov, Nov 09 2016 *)
CROSSREFS
KEYWORD
sign,easy
AUTHOR
Wolfdieter Lang Jun 01 2007
STATUS
approved