0,4

Stirling transform of a(n+1)=[1,1,2,4,14,38,...] is A000255(n)=[1,3,11,53,309,...]. - Michael Somos Mar 04 2004

Stirling transform of 2*a(n)=[2,2,4,8,28,...] is A052849(n)=[2,4,12,48,240,...]. - Michael Somos Mar 04 2004

Stirling transform of a(n)=[1,1,2,4,14,38,216,...] is A000142(n)=[1,2,6,24,120,...]. - Michael Somos Mar 04 2004

Stirling transform of a(n-1)=[1,1,1,2,4,14,38,...] is A000522(n-1)=[1,2,5,16,65,...]. - Michael Somos Mar 04 2004

Stirling transform of a(n-1)=[0,1,1,2,4,14,38,...] is A007526(n-1)=[0,1,4,15,64,...]. - Michael Somos Mar 04 2004

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

G. P\'{o}lya, Induction and Analogy in Mathematics. Princeton Univ. Press, 1954, p. 9.

Sum_{k=0..n} k!*stirling1(n, k). - Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 08 2002

E.g.f.: 1/(1-log(1+x)).

(PARI) a(n)=if(n<0, 0, n!*polcoeff(1/(1-log(1+x+x*O(x^n))), n))

Sequence in context: A053623 A035010 A055540 this_sequence A079995 A152011 A000912

Adjacent sequences: A006249 A006250 A006251 this_sequence A006253 A006254 A006255

sign

N. J. A. Sloane (njas(AT)research.att.com).