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A098599
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Riordan array ((1+2x)/(1+x),(1+x)).
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6
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1, 1, 1, -1, 2, 1, 1, 0, 3, 1, -1, 0, 2, 4, 1, 1, 0, 0, 5, 5, 1, -1, 0, 0, 2, 9, 6, 1, 1, 0, 0, 0, 7, 14, 7, 1, -1, 0, 0, 0, 2, 16, 20, 8, 1, 1, 0, 0, 0, 0, 9, 30, 27, 9, 1, -1, 0, 0, 0, 0, 2, 25, 50, 35, 10, 1, 1, 0, 0, 0, 0, 0, 11, 55, 77, 44, 11, 1, -1, 0, 0, 0, 0, 0, 2, 36, 105, 112, 54, 12, 1, 1, 0, 0, 0, 0, 0, 0, 13, 91, 182, 156, 65, 13, 1, -1, 0, 0, 0, 0
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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FORMULA
| Triangle T(n, k)=binomial(k, n-k)+binomial(k-1, n-k-1)
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EXAMPLE
| Rows begin {1}, {1,1}, {-1,2,1}, {1,0,3,1}, {-1,0,2,4,1},...
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CROSSREFS
| Row sums are A098600. Diagonal sums are A098601.
Cf. A029635. Apart from signs, same as A100218. Very similar to triangle A111125.
Sequence in context: A175417 A136481 A100218 * A129334 A116399 A116405
Adjacent sequences: A098596 A098597 A098598 * A098600 A098601 A098602
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KEYWORD
| easy,sign,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Sep 17 2004
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