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Search: id:A097807
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| A097807 |
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Riordan array (1/(1+x),1) read by rows. |
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+0
10
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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
(list; table; graph; listen)
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OFFSET
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0,1
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COMMENT
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Columns have g.f. x^k/(1+x). Row sums are A059841. Diagonal sums are (-1)^n*A008619 with g.f. 1/((1+x)(1-x^2)). Inverse of A097806. A097807=B^(-1)*A097805, where B is the binomial matrix.
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FORMULA
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Triangle array of numbers T(n, k) with T(n, k)=if(n>=k, (-1)^(n-k), 0).
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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},....
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CROSSREFS
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Sequence in context: A010555 A020985 A034947 this_sequence A014077 A098417 A076479
Adjacent sequences: A097804 A097805 A097806 this_sequence A097808 A097809 A097810
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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), Aug 25 2004
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