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Search: id:A078921
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| 1, -1, 2, 2, -3, 6, -6, 8, -12, 24, 24, -30, 40, -60, 120, -120, 144, -180, 240, -360, 720, 720, -840, 1008, -1260, 1680, -2520, 5040, -5040, 5760, -6720, 8064, -10080, 13440, -20160, 40320, 40320, -45360, 51840, -60480, 72576, -90720, 120960, -181440, 362880, -362880, 403200, -453600, 518400, -604800
(list; table; graph; listen)
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OFFSET
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1,3
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COMMENT
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Row sums give A024167.
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FORMULA
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a[n, k]= -(-1)^(n-k+1) n/(n-k+1)(n-1)!
E.g.f.: ln(1+x)/(1-y*x). - Vladeta Jovovic (vladeta(AT)Eunet.yu), Feb 07 2003
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EXAMPLE
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Triangle starts {1}, {-1, 2}, {2, -3, 6}, {-6, 8, -12, 24}, {24, -30, 40, -60, 120}, ...
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MATHEMATICA
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Table[Table[ -(-1)^(n-k+1) n/(n-k+1), {k, 1, n}] (n-1)!, {n, 1, 12}]
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CROSSREFS
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Cf. A077012, A078922, A000254.
Sequence in context: A093784 A035560 A077012 this_sequence A011961 A091770 A032058
Adjacent sequences: A078918 A078919 A078920 this_sequence A078922 A078923 A078924
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KEYWORD
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easy,sign,tabl
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AUTHOR
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Wouter Meeussen (wouter.meeussen(AT)pandora.be), Dec 14 2002
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