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.

A106470 Inverse of number triangle A106468.

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%I A106470 #7 Feb 21 2024 08:20:13
%S A106470 1,-1,1,-1,0,1,1,-1,-1,1,1,0,-1,0,1,-1,1,1,-1,-1,1,-1,0,1,0,-1,0,1,1,
%T A106470 -1,-1,1,1,-1,-1,1,1,0,-1,0,1,0,-1,0,1,-1,1,1,-1,-1,1,1,-1,-1,1,-1,0,
%U A106470 1,0,-1,0,1,0,-1,0,1,1,-1,-1,1,1,-1,-1,1,1,-1,-1,1,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,-1,1,1,-1,-1,1,1
%N A106470 Inverse of number triangle A106468.
%C A106470 A 'mixed' sequence array : rows alternate between the rows of the sequence array for the sequence 1,-1,-1,1,1,-1,-1,.. with g.f. (1-x)/(1+x^2) and the sequence array for the sequence 1,0,-1,0,-1,... with g.f. 1/(1+x^2). Column 2k has g.f. x^2k(1-x)/(1+x^2) column 2k+1 has g.f. x^(2k+1)/(1+x^2). Row sums are 1,0,0,0,1,0,0,0,1,.. with g.f. 1/(1-x^4).
%e A106470 Triangle begins:
%e A106470   1;
%e A106470   -1, 1;
%e A106470   -1, 0, 1;
%e A106470   1, -1, -1, 1;
%e A106470   1, 0, -1, 0, 1;
%e A106470   -1, 1, 1, -1, -1, 1;
%e A106470   ...
%K A106470 sign,tabl
%O A106470 0,1
%A A106470 _Paul Barry_, May 03 2005