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Search: id:A106467
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| 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; listen)
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OFFSET
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0,1
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COMMENT
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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).
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EXAMPLE
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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;
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CROSSREFS
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Sequence in context: A099443 A132342 A156174 this_sequence A106468 A030317 A077009
Adjacent sequences: A106464 A106465 A106466 this_sequence A106468 A106469 A106470
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KEYWORD
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sign,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), May 03 2005
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