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Search: id:A163649
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| 1, -1, 1, 1, -2, 2, -1, 3, -6, 6, 1, -4, 12, -24, 6, -1, 5, -20, 60, -30, 30, 1, -6, 30, -120, 90, -180, 20, -1, 7, -42, 210, -210, 630, -140, 140, 1, -8, 56, -336, 420, -1680, 560, -1120, 70
(list; graph; listen)
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OFFSET
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0,5
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COMMENT
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T(n,k) = (-1)^(n-k)*floor(k/2)!^(-2)*n!/(n-k)!
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LINKS
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Peter Luschny, Swinging Factorial.
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EXAMPLE
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1
-1, 1
1, -2, 2
-1, 3, -6, 6
1, -4, 12, -24, 6
-1, 5, -20, 60, -30, 30
1, -6, 30, -120, 90, -180, 20
-1, 7, -42, 210, -210, 630, -140, 140
1, -8, 56, -336, 420, -1680, 560, -1120, 70
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MAPLE
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a := proc(n, k) (-1)^(n-k)*floor(k/2)!^(-2)*n!/(n-k)! end:
seq(print(seq(a(n, k), k=0..n)), n=0..8);
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CROSSREFS
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Row sums give A163650.
Sequence in context: A158825 A107111 A082037 this_sequence A110858 A008279 A056043
Adjacent sequences: A163646 A163647 A163648 this_sequence A163650 A163651 A163652
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KEYWORD
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sign
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AUTHOR
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Peter Luschny (peter(AT)luschny.de), Aug 02 2009
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