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Search: id:A039757
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| A039757 |
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Triangle of coefficients in expansion of (x-1)(x-3)(x-5)...(x-(2n-1)). |
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+0
4
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| 1, -1, 1, 3, -4, 1, -15, 23, -9, 1, 105, -176, 86, -16, 1, -945, 1689, -950, 230, -25, 1, 10395, -19524, 12139, -3480, 505, -36, 1, -135135, 264207, -177331, 57379, -10045, 973, -49, 1, 2027025, -4098240, 2924172, -1038016, 208054, -24640, 1708, -64, 1, -34459425
(list; table; graph; listen)
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OFFSET
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0,4
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COMMENT
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Triangle of B-analogues of Stirling numbers of first kind.
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LINKS
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R. Suter, Two analogues of a classical sequence, J. Integer Sequences, Vol. 3 (2000), #P00.1.8.
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FORMULA
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Triangle T(n, k), read by rows, given by [ -1, -2, -3, -4, -5, -6, -7, ...] DELTA [1, 0, 1, 0, 1, 0, 1, 0, ...] where DELTA is the operator defined in A084938 . - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Feb 20 2005
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EXAMPLE
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1; -1,1; 3,-4,1; -15,23,-9,1; 105,-176,86,-16,1; ...
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CROSSREFS
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A028338 is unsigned version.
Adjacent sequences: A039754 A039755 A039756 this_sequence A039758 A039759 A039760
Sequence in context: A059110 A100326 A028338 this_sequence A136228 A055133 A113084
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KEYWORD
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tabl,sign,easy,nice
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AUTHOR
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Ruedi Suter (suter(AT)math.ethz.ch)
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