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Search: id:A120058
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| 1, 2, -1, 3, -4, 2, 4, -9, 10, -4, 5, -16, 28, -24, 8, 6, -25, 60, -80, 56, -16, 7, -36, 110, -200, 216, -128, 32, 8, -49, 182, -420, 616, -560, 288, -64, 9, -64, 280, -784, 1456, -1792, 1408, -640, 128, 10, -81, 408, -1344, 3024, -4704, 4992, -3456, 1408, -256
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Appears to be essentially the same as A056863, but (as of Jun 06 2006) that sequence definition is unclear and there are discrepencies in the signs.
Alternating column sums appear to be 3^n.
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FORMULA
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A120057(n,k) = sum_{i=1,k} T(n,i)*B(n-i+1).
T(n,k) = Sum_j A120095(n,j) * S1(j,n-k+1), where S1 is the Stirling numbers of the first kind (A008275).
Unsigned version, as an infinite lower triangular matrix, equals A007318 * A134315. - Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 19 2007
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EXAMPLE
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Table starts:
1
2,-1
3,-4,2
4,-9,10,-4
5,-16,28,-24,8
6,-25,60,-80,56,-16
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CROSSREFS
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Cf A120057, A000110, A056863.
Cf. A008275, A120095.
Cf. A134315.
Sequence in context: A130585 A125100 A128544 this_sequence A102756 A086614 A108959
Adjacent sequences: A120055 A120056 A120057 this_sequence A120059 A120060 A120061
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KEYWORD
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sign,tabl
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AUTHOR
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Frank Adams-Watters (FrankTAW(AT)Netscape.net), Jun 06 2006, Jun 07 2006
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