cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A107055 Integer part of Sum_{k>=0} Sum_{j=0..k} n^j*A107045(k,j)/A107046(k,j).

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%I A107055 #4 Mar 30 2012 18:36:46
%S A107055 1,2,4,8,14,23,37,60,94,147,227,349,533,810,1225,1847,2776,4162,6224,
%T A107055 9288,13836,20575,30552,45305,67100,99267,146703,216602,319525,470974,
%U A107055 693685,1020998,1501775,2207604,3243324,4762421,6989521,10253264
%N A107055 Integer part of Sum_{k>=0} Sum_{j=0..k} n^j*A107045(k,j)/A107046(k,j).
%C A107055 Limit a(n+1)/a(n) exists and is conjectured to equal exp(exp(-1)).
%F A107055 n^p = Sum_{k=0..n} p^k*Sum_{j=0..k} n^j*A107045(k, j)/A107046(k, j) for all nonnegative integers n and p.
%o A107055 (PARI) {a(n)=floor(sum(k=0,n+10,sum(j=0,k, n^j*(matrix(k+1,k+1,r,c,if(r>=c,1.*(r-1)^(c-1)))^-1)[k+1,j+1])))}
%Y A107055 Cf. A107045/A107046, A107047/A107048 (n=2), A107049/A107050 (n=3), A107051/A107052 (n=4), A107053/A107054 (n=5).
%K A107055 nonn
%O A107055 1,2
%A A107055 _Paul D. Hanna_, May 17 2005