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Search: id:A117362
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| A117362 |
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Riordan array (1-2x,x(1-x)). |
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+0
2
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| 1, -2, 1, 0, -3, 1, 0, 2, -4, 1, 0, 0, 5, -5, 1, 0, 0, -2, 9, -6, 1, 0, 0, 0, -7, 14, -7, 1, 0, 0, 0, 2, -16, 20, -8, 1, 0, 0, 0, 0, 9, -30, 27, -9, 1, 0, 0, 0, 0, -2, 25, -50, 35, -10, 1, 0, 0, 0, 0, 0, -11, 55, -77, 44, -11, 1
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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A signed version of A113214. Inverse of A092392. Row sums are A100051(n+1) with g.f. (1-2x)/(1-x+x^2). Diagonal sums are A117363.
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FORMULA
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Number triangle T(n,k)=(-1)^(n-k)(C(k,n-k)+2*C(k, n-k-1))
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EXAMPLE
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Triangle begins
1,
-2, 1,
0, -3, 1,
0, 2, -4, 1,
0, 0, 5, -5, 1,
0, 0, -2, 9, -6, 1,
0, 0, 0, -7, 14, -7, 1,
0, 0, 0, 2, -16, 20, -8, 1
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CROSSREFS
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Sequence in context: A120111 A130055 A127013 this_sequence A113214 A029323 A071802
Adjacent sequences: A117359 A117360 A117361 this_sequence A117363 A117364 A117365
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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), Mar 10 2006
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