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A106467 Inverse of number triangle A106465. 0

%I

%S 1,-1,1,-1,0,1,1,-1,-1,1,0,0,-1,0,1,0,0,1,-1,-1,1,0,0,0,0,-1,0,1,0,0,

%T 0,0,1,-1,-1,1,0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,1,-1,-1,1,0,0,0,0,0,0,0,

%U 0,-1,0,1,0,0,0,0,0,0,0,0,1,-1,-1,1,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,1,-1,-1,1

%N Inverse of number triangle A106465.

%C A 'mixed' sequence array : rows alternate between the rows of the sequence array for the sequence (1,0,-1,0,0,0...) and the sequence array for the sequence (1,-1,-1,1,0,0,0,...). Column 2k has g.f. x^2k(1-x-x^2+x^3); column 2k+1 has g.f. x^(2k+1)(1-x^2). Row sums are 0^n=binomial(0,n)=(1,0,0,0,....). Diagonal sums are (1,-1,0,1,0,-1,...) with g.f. (1-x+x^2)/(1+x^2).

%e Triangle begins

%e 1;

%e -1,1;

%e -1,0,1;

%e 1,-1,-1,1;

%e 0,0,-1,0,1;

%e 0,0,1,-1,1,1;

%e 0,0,0,0,-1,0,1;

%K sign,tabl

%O 0,1

%A _Paul Barry_, May 03 2005

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Last modified May 19 22:32 EDT 2019. Contains 323411 sequences. (Running on oeis4.)