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A163773
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Row sums of the swinging derangement triangle (A163770).
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1
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1, 1, 4, 15, -14, 185, -454, 2107, -6194, 22689, -70058, 234971, -734304, 2368379, -7404318, 23417955, -72988938, 228324569
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| a(n) = sum{k=0..n} sum{i=k..n} (-1)^(n-i)*binomial(n-k,n-i)*i$
where i$ denotes the swinging factorial of i (A056040).
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LINKS
| Peter Luschny, Swinging Factorial.
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MAPLE
| swing := proc(n) option remember; if n = 0 then 1 elif
irem(n, 2) = 1 then swing(n-1)*n else 4*swing(n-1)/n fi end:
a := proc(n) local i, k; add(add((-1)^(n-i)*binomial(n-k, n-i)*swing(i), i=k..n), k=0..n) end:
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CROSSREFS
| Cf. A163770
Sequence in context: A154068 A126601 A095331 * A076349 A175959 A152442
Adjacent sequences: A163770 A163771 A163772 * A163774 A163775 A163776
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KEYWORD
| sign
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AUTHOR
| Peter Luschny (peter(AT)luschny.de), Aug 05 2009
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