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Search: id:A110515
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| A110515 |
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Sequence array for (1-x+x^2+x^3)/(1-x^4). |
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+0
3
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| 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -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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Row sums are A106249. Diagonal sums are A110514.
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FORMULA
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Riordan array ((1-x+x^2+x^3)/(1-x^4), 1); Column k has g.f. x^k*(1-x+x^2+x^3)/(1-x^4); T(n, k)=if(k<=n, -sin(pi*(n-k)/2)+cos(pi*(n-k))/2+1/2, 0); T(n, k)=if(k<=n, Jacobi(2^(n-k), 2(n-k)+1), 0) [conjecture].
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EXAMPLE
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Rows begin
1;
-1,1;
1,-1,1;
1,1,-1,1;
1,1,1,-1,1;
-1,1,1,1,-1,1;
1,-1,1,1,1,-1,1;
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CROSSREFS
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Sequence in context: A065357 A071935 A096809 this_sequence A071936 A084904 A097516
Adjacent sequences: A110512 A110513 A110514 this_sequence A110516 A110517 A110518
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KEYWORD
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easy,sign,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Jul 24 2005
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