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.

A110324 Inverse of a number triangle related to the Jacobsthal numbers.

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%I A110324 #4 Mar 30 2012 18:59:09
%S A110324 1,-1,1,-4,-2,1,0,-12,-3,1,0,0,-24,-4,1,0,0,0,-40,-5,1,0,0,0,0,-60,-6,
%T A110324 1,0,0,0,0,0,-84,-7,1,0,0,0,0,0,0,-112,-8,1,0,0,0,0,0,0,0,-144,-9,1,0,
%U A110324 0,0,0,0,0,0,0,-180,-10,1,0,0,0,0,0,0,0,0,0,-220,-11,1,0,0,0,0,0,0,0,0,0,0,-264,-12,1
%N A110324 Inverse of a number triangle related to the Jacobsthal numbers.
%C A110324 Row sums are A110325. Diagonal sums are A110326. Inverse of A110321. The result can be generalized as follows: The triangle whose columns have e.g.f. (x^k/k!)/(1-a*x-b*x^2) has inverse T(n,k)=if(n=k,1,if(n-k=1,-a*binomial(n,1),if(n-k=2,-2*b*binomial(n,2),0)))
%F A110324 T(n, k)=if(n=k, 1, if(n-k=1, -binomial(n, 1), if(n-k=2, -4*binomial(n, 2), 0)))
%e A110324 Rows begin
%e A110324 1;
%e A110324 -1,1;
%e A110324 -4,-2,1;
%e A110324 0,-12,-3,1;
%e A110324 0,0,-24,-4,1;
%e A110324 0,0,0,-40,-5,1;
%e A110324 0,0,0,0,-60,-6,1;
%K A110324 easy,sign,tabl
%O A110324 0,4
%A A110324 _Paul Barry_, Jul 20 2005