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Search: id:A112517
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| A112517 |
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Riordan array (1,x(1+x)(1-x(1+x)). |
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+0
3
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| 1, 0, 1, 0, 0, 1, 0, -2, 0, 1, 0, -1, -4, 0, 1, 0, 0, -2, -6, 0, 1, 0, 0, 4, -3, -8, 0, 1, 0, 0, 4, 12, -4, -10, 0, 1, 0, 0, 1, 12, 24, -5, -12, 0, 1, 0, 0, 0, -5, 24, 40, -6, -14, 0, 1, 0, 0, 0, -12, -26, 40, 60, -7, -16, 0, 1, 0, 0, 0, -6, -48, -70, 60, 84, -8, -18, 0, 1, 0, 0, 0, -1, -8, -120, -145, 84, 112, -9, -20, 0, 1
(list; table; graph; listen)
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OFFSET
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0,8
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COMMENT
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Riordan array product (1,x(1+x))*(1,x(1-x)). Row sums are A112518. Inverse is A112519.
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FORMULA
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Riordan array (1, x(1-2x^2-x^3)); T(n, k)=sum{j=0..n, C(j, n-j)C(k, j-k)(-1)^(j-k)}.
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EXAMPLE
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Triangle begins
1;
0,1;
0,0,1;
0,-2,0,1;
0,-1,-4,0,1;
0,0,-2,-6,0,1;
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CROSSREFS
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Sequence in context: A071483 A004173 A066745 this_sequence A112519 A091728 A108069
Adjacent sequences: A112514 A112515 A112516 this_sequence A112518 A112519 A112520
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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), Sep 09 2005
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