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A075515
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Fifth column of triangle A075498.
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5
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1, 45, 1260, 28350, 563031, 10333575, 179866170, 3016747800, 49263275061, 788796913905, 12445575859080, 194186867360850, 3004103990159091, 46168557763591035, 705914973500103990, 10750288516418083500
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| The e.g.f. given below is sum(A075513(5,m)*exp(3*(m+1)*x),m=0..4)/4!.
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FORMULA
| a(n)=A075498(n+5, 5)=(3^n)*S2(n+5, 5) with S2(n, m) := A008277(n, m) (Stirling2).
a(n)=sum(A075513(5, m)*exp((m+1)*3)^n, m=0..4)/4!.
G.f.: 1/product((1-3*k*x), k=1..5).
E.g.f.: diff((((exp(3*x)-1)/3)^5)/5!, x$5) = (exp(3*x)-64*exp(6*x)+486*exp(9*x)-1024*exp(12*x)+625*exp(15*x))/4!.
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CROSSREFS
| Cf. A028085, A075516.
Sequence in context: A173000 A004350 A199518 * A145151 A027476 A062262
Adjacent sequences: A075512 A075513 A075514 * A075516 A075517 A075518
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KEYWORD
| nonn,easy
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Oct 02, 2002
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