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Search: id:A113313
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| A113313 |
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Riordan array (1-2x,x/(1-x)). |
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+0
2
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| 1, -2, 1, 0, -1, 1, 0, -1, 0, 1, 0, -1, -1, 1, 1, 0, -1, -2, 0, 2, 1, 0, -1, -3, -2, 2, 3, 1, 0, -1, -4, -5, 0, 5, 4, 1, 0, -1, -5, -9, -5, 5, 9, 5, 1, 0, -1, -6, -14, -14, 0, 14, 14, 6, 1, 0, -1, -7, -20, -28, -14, 14, 28, 20, 7, 1, 0, -1, -8, -27, -48, -42, 0, 42, 48, 27, 8, 1, 0, -1, -9, -35
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Row sums are (1,-1,0,0,0,....)=2*C(0,n)-C(1,n). Diagonal sums are -2*0^n-F(n-4) with g.f. (1-3x+2x^2)/(1-x-x^2). Inverse of A113310.
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FORMULA
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T(n, k)=C(n-1, n-k)-2*C(n-2, n-k-1)
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EXAMPLE
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Triangle begins
1;
-2,1;
0,-1,1;
0,-1,0,1;
0,-1,-1,1,1;
0,-1,-2,0,2,1;
0,-1,-3,-2,2,3,1;
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CROSSREFS
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Sequence in context: A045706 A045634 A141702 this_sequence A099200 A093578 A070107
Adjacent sequences: A113310 A113311 A113312 this_sequence A113314 A113315 A113316
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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), Oct 25 2005
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