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Search: id:A129218
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| A129218 |
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Rencontres numbers: permutations with exactly 10 fixed points. |
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+0
2
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| 1, 0, 66, 572, 9009, 132132, 2122120, 36056592, 649062414, 12332093488, 246642054516, 5179482792120, 113948622073286, 2620818306541512, 62899639358957544, 1572490983970669840, 40884765583242727575
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OFFSET
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0,3
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FORMULA
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G.f.: exp(-x)/(1-x)*(x^10/10!) . [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 03 2009]
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MAPLE
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a:=n->sum(n!*sum((-1)^k/(k-9)!, j=0..n), k=9..n): seq(-a(n)/10!, n=9..27);
restart: G(x):=exp(-x)/(1-x)*(x^10/10!): f[0]:=G(x): for n from 1 to 26 do f[n]:=diff(f[n-1], x) od: x:=0: seq(f[n], n=10..26); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 03 2009]
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CROSSREFS
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Sequence in context: A063249 A106212 A155022 this_sequence A046409 A128952 A101093
Adjacent sequences: A129215 A129216 A129217 this_sequence A129219 A129220 A129221
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KEYWORD
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nonn
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AUTHOR
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Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 25 2007
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