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Search: id:A100218
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| A100218 |
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Riordan array ((1-2x)/(1-x), (1-x)). |
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+0
8
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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; listen)
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OFFSET
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0,5
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FORMULA
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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
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Rows begin {1}, {-1,1}, {-1,-2,1}, {-1,0,-3,1}, {-1,0,2,-4,1},...
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CROSSREFS
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Row sums are A100219. Matrix inverse of A100100.
Apart from signs, same as A098599. Very similar to triangle A111125.
Sequence in context: A130162 A133736 A136481 this_sequence A098599 A129334 A116399
Adjacent sequences: A100215 A100216 A100217 this_sequence A100219 A100220 A100221
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KEYWORD
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easy,sign
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Nov 08 2004
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