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A100218
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Riordan array ((1-2x)/(1-x), (1-x)).
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7
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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FORMULA
| Number triangle T(n, k)=(-1)^(n-k)(binomial(k, n-k)+binomial(k-1, n-k-1)) - Paul Barry (pbarry(AT)wit.ie), Nov 09 2004
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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 A100219. Matrix inverse of A100100.
Apart from signs, same as A098599. Very similar to triangle A111125.
Sequence in context: A175595 A175417 A136481 * A098599 A129334 A116399
Adjacent sequences: A100215 A100216 A100217 * A100219 A100220 A100221
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KEYWORD
| easy,sign
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Nov 08 2004
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