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A085294 Integer ceiling of coefficients of exp(x*A(x)). 2

%I #9 Jun 23 2019 02:23:58

%S 1,1,2,4,8,16,35,81,190,458,1122,2784,6983,17678,45108,115892,299542,

%T 778330,2031974,5327304,14020083,37024711,98083557,260583547,

%U 694130905,1853484434,4960318790,13302462676,35743133528,96213085461,259420983385

%N Integer ceiling of coefficients of exp(x*A(x)).

%F a(n) = ceiling(A085295(n)/n!) where exp(x*A(x)) = Sum_{n>=0} A085295(n)*x^n/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)); ); polcoeff(A,n))}

%Y Cf. A085295, A085022.

%K nonn

%O 0,3

%A _Paul D. Hanna_, Jun 24 2003

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Last modified April 25 11:24 EDT 2024. Contains 371967 sequences. (Running on oeis4.)