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.

A113148 Row 7 of table A113143; equal to INVERT of 7-fold factorials shifted one place right.

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%I A113148 #9 Sep 08 2013 13:30:50
%S A113148 1,1,2,11,141,2928,82597,2925973,124502114,6179425823,350316271761,
%T A113148 22326710345256,1579953165170881,122905129550802985,
%U A113148 10423661531476766834,957176457621821573987,94608465923392572536421
%N A113148 Row 7 of table A113143; equal to INVERT of 7-fold factorials shifted one place right.
%F A113148 a(n) = Sum_{j=0..k} 7^(k-j)*A111146(k, j).
%F A113148 a(0) = 1; a(n+1) = Sum_{k=0..n} a(k)*A045754(n-k).
%e A113148 A(x) = 1 + x + 2*x^2 + 11*x^3 + 141*x^4 + 2928*x^5 +...
%e A113148 = 1/(1 - x - x^2 - 8*x^3 - 120*x^4 -...- A045754(n)*x^(n+1)
%e A113148 -...).
%o A113148 (PARI) {a(n)=local(x=X+X*O(X^n)); A=1/(1-x-x^2*sum(j=0,n,x^j*prod(i=0,j,7*i+1)));return(polcoeff(A,n,X))}
%Y A113148 Cf. A113143, A045754 (7-fold factorials).
%K A113148 nonn
%O A113148 0,3
%A A113148 _Philippe Deléham_ and _Paul D. Hanna_, Oct 28 2005