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.

A113149 Row 8 of table A113143; equal to INVERT of 8-fold factorials shifted one place right.

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%I A113149 #9 Sep 08 2013 13:30:50
%S A113149 1,1,2,12,176,4184,134824,5451528,264710536,14992543432,969925065992,
%T A113149 70547721068232,5697913588192520,505926926171909576,
%U A113149 48979597517592503560,5134435963996172979912,579379155027833982679816
%N A113149 Row 8 of table A113143; equal to INVERT of 8-fold factorials shifted one place right.
%F A113149 a(n) = Sum_{j=0..k} 8^(k-j)*A111146(k, j).
%F A113149 a(0) = 1; a(n+1) = Sum_{k=0..n} a(k)*A045755(n-k).
%e A113149 A(x) = 1 + x + 2*x^2 + 12*x^3 + 176*x^4 + 4184*x^5 +...
%e A113149 = 1/(1 - x - x^2 - 9*x^3 - 153*x^4 -...- A045755(n)*x^(n+1)
%e A113149 -...).
%o A113149 (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,8*i+1)));return(polcoeff(A,n,X))}
%Y A113149 Cf. A113143, A045755 (8-fold factorials).
%K A113149 nonn
%O A113149 0,3
%A A113149 _Philippe Deléham_ and _Paul D. Hanna_, Oct 28 2005