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Search: id:A065143
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| A065143 |
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Sum(stirling2(n,k)*(1+(-1)^k)*2^k/2,k=0..n). |
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+0
3
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| 1, 0, 4, 12, 44, 220, 1228, 7196, 45004, 303900, 2201676, 16920860, 136966860, 1163989788, 10364408140, 96463232284, 935872773068, 9440653262620, 98809201693260, 1071131795708188, 12007932126074060
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OFFSET
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0,3
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FORMULA
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Representation as a sum of an infinite series: a(n)=exp(2)*sum((2*k)^n*2^(2*k)/(2*k)!, k = 0..infinity)-sinh(2)*sum(k^n*2^k/k!, k = 0..infinity), n=0, 1...
E.g.f.: cosh(2*exp(x)-2). - Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 14 2003
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CROSSREFS
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Sequence in context: A076793 A007860 A039740 this_sequence A098543 A028407 A105344
Adjacent sequences: A065140 A065141 A065142 this_sequence A065144 A065145 A065146
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KEYWORD
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nonn
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AUTHOR
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Karol A. Penson (penson(AT)lptl.jussieu.fr), Oct 17 2001
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