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A106467 Inverse of number triangle A106465. 0
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, 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, 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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

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).

LINKS

Table of n, a(n) for n=0..104.

EXAMPLE

Triangle begins

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;

CROSSREFS

Sequence in context: A132342 A156174 A187967 * A106468 A030317 A077009

Adjacent sequences:  A106464 A106465 A106466 * A106468 A106469 A106470

KEYWORD

sign,tabl

AUTHOR

Paul Barry, May 03 2005

STATUS

approved

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Last modified April 18 06:48 EDT 2019. Contains 322209 sequences. (Running on oeis4.)