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Search: id:A119392
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| A119392 |
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a(n) = n!*Sum_{k=0..n} Stirling2(n,k)/k!. |
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+0
1
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| 1, 1, 3, 16, 133, 1571, 24721, 496168, 12317761, 369451477, 13135552831, 545021905176, 26051269951213, 1418976050686351, 87262518335077541, 6010361475663954256, 460405692649973927041, 38981134670714611635913
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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Sum_{n>=0} a(n)*x^n/n!^2 = BesselI(0,2*sqrt(exp(x)-1)).
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MAPLE
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a:=n->sum(stirling2(n, j)*n!/j!, j=0..n):seq(a(n), n=0..15); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 19 2007
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MATHEMATICA
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Table[n!*Sum[StirlingS2[n, k]/k!, {k, 0, n}], {n, 0, 20}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Nov 23 2007
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CROSSREFS
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Cf. A001569.
Sequence in context: A023998 A141628 A048802 this_sequence A129043 A135746 A006057
Adjacent sequences: A119389 A119390 A119391 this_sequence A119393 A119394 A119395
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KEYWORD
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easy,nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)eunet.rs), Jul 25 2006
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EXTENSIONS
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More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Nov 23 2007
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