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A097808
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Riordan array ((1+2x)/(1+x)^2, 1/(1+x)) read by rows.
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2
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1, 0, 1, -1, -1, 1, 2, 0, -2, 1, -3, 2, 2, -3, 1, 4, -5, 0, 5, -4, 1, -5, 9, -5, -5, 9, -5, 1, 6, -14, 14, 0, -14, 14, -6, 1, -7, 20, -28, 14, 14, -28, 20, -7, 1, 8, -27, 48, -42, 0, 42, -48, 27, -8, 1, -9, 35, -75, 90, -42, -42, 90, -75, 35, -9, 1, 10, -44, 110, -165, 132
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,7
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COMMENTS
| Inverse of A059260. Row sums are inverse binomial transform of A040000, with g.f. (1+2x)/(1+x). Diagonal sums are (-1)^n(1-Fib(n)). A097808=B^(-1)*A097806, where B is the binomial matrix. B*A097808*B^(-1) is the inverse of A097805.
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FORMULA
| Columns have g.f. (1+2x)/(1+x)^2(x/(1+x))^k.
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EXAMPLE
| Rows begin {1}, {0,1}, {-1,-1,1}, {2,0,-2,1},...
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CROSSREFS
| Sequence in context: A138110 A080233 A156644 * A114325 A101048 A204389
Adjacent sequences: A097805 A097806 A097807 * A097809 A097810 A097811
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KEYWORD
| easy,sign,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Aug 25 2004
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