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 A085295 E.g.f. satisfies exp(x*Sum_{n>=0} ceiling(a(n)/n!)*x^n) = Sum_{n>=0} a(n)*x^n/n!. 2

%I #8 Jun 23 2019 02:24:28

%S 1,1,3,19,169,1881,25051,403243,7660689,166148209,4069854451,

%T 111107009091,3344729082553,110080145959369,3932437848451659,

%U 151548546279803611,6267252988546789921,276842139798867249633

%N E.g.f. satisfies exp(x*Sum_{n>=0} ceiling(a(n)/n!)*x^n) = Sum_{n>=0} a(n)*x^n/n!.

%F Ceiling(a(n)/n!) = A085294(n).

%o (PARI) {a(n)=local(A); if(n<0,0,A=1+O(x); for(m=1,n,A=Pol(A)+x^m*(ceil(polcoeff(exp(x*A),m))+O(x)); ); n!*polcoeff(exp(x*A),n))}

%Y Cf. A085294, A085023.

%K nonn

%O 0,3

%A _Paul D. Hanna_, Jun 24 2003

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Last modified September 7 09:52 EDT 2024. Contains 375730 sequences. (Running on oeis4.)