A075792 - OEIS

%I #9 Apr 19 2024 07:30:47

%S 1,1,1,2,8,44,302,2512,24558,275676,3493862,49339784,768182846,

%T 13071470788,241332513606,4804601266896,102599581877918,

%U 2339270285673068,56716397892998246,1457071974028941400,39538338850995279294,1130018112921128323668,33928819073838398622662

%N E.g.f.: 1 + log(1+f(x)) where f(x) = log(1/(2-exp(x))) = e.g.f. for A000629.

%C Stirling transform of A089064(n)=[1,0,1,1,8,26,...] is a(n)=[1,1,2,8,44,...]. - _Michael Somos_, Mar 04 2004

%o (PARI) a(n)=if(n<0,0,n!*polcoeff(1+log(1+log(1/(2-exp(x+x*O(x^n))))),n))

%Y Cf. A000629, A089064.

%K nonn

%O 0,4

%A _N. J. A. Sloane_, Oct 15 2002