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Search: id:A076011
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| 1, 135, 11340, 765450, 45605511, 2511058725, 131122437930, 6597627438600, 323216347675221, 15525889656392115, 734898808902814920, 34399620992372494950, 1596504028634137480131, 73607593519321749694305
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OFFSET
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0,2
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COMMENT
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The e.g.f. given below is sum(A075513(5,m)*exp(9*(m+1)*x),m=0..4)/4!.
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FORMULA
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a(n)=A075504(n+5, 5)=(9^n)*S2(n+5, 5) with S2(n, m) := A008277(n, m) (Stirling2).
a(n)= sum(A075513(5, m)*(9*(m+1))^n, m=0..4)/4!.
G.f.: 1/product(1-9*k*x, k=1..5).
E.g.f.: diff((((exp(9*x)-1)/9)^5)/5!, x$5) = (exp(9*x)-64*exp(18*x)+486*exp(27*x)-1024*exp(36*x)+625*exp(45*x))/4!.
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CROSSREFS
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Cf. A076010, A076012.
Sequence in context: A004005 A143404 A051028 this_sequence A132054 A106175 A051307
Adjacent sequences: A076008 A076009 A076010 this_sequence A076012 A076013 A076014
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Oct 02, 2002
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