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Search: id:A094645
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| A094645 |
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Generalized Stirling number triangle of first kind. |
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+0
7
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| 1, -1, 1, 0, -1, 1, 0, -1, 0, 1, 0, -2, -1, 2, 1, 0, -6, -5, 5, 5, 1, 0, -24, -26, 15, 25, 9, 1, 0, -120, -154, 49, 140, 70, 14, 1, 0, -720, -1044, 140, 889, 560, 154, 20, 1, 0, -5040, -8028, -64, 6363, 4809, 1638, 294, 27, 1, 0, -40320, -69264, -8540, 50840, 44835, 17913, 3990, 510, 35, 1
(list; table; graph; listen)
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OFFSET
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0,12
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FORMULA
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E.g.f.: (1-y)^(1-x).
Sum_{k, 0<=k<=n}T(n,k)*x^k = A000007(n), A000142(n), A000142(n+1), A001710(n+2), A001715(n+3), A001720(n+4), A001725(n+5), A001730(n+6), A049388(n), A049389(n), A049398(n), A051431(n) for x = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 respectively . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 13 2007
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EXAMPLE
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1; -1,1; 0,-1,1; 0,-1,0,1; 0,-2,-1,2,1; 0,-6,-5,5,5,1; 0,-24,-26,15,25,9,1; ...
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CROSSREFS
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Cf. A049444, A049458, A094646.
Sequence in context: A105700 A030205 A079532 this_sequence A105793 A128410 A059782
Adjacent sequences: A094642 A094643 A094644 this_sequence A094646 A094647 A094648
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KEYWORD
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easy,sign,tabl
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AUTHOR
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Vladeta Jovovic (vladeta(AT)Eunet.yu), May 17 2004
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