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A075913
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Fifth column of triangle A075500.
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2
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1, 75, 3500, 131250, 4344375, 132890625, 3855156250, 107765625000, 2933008203125, 78271552734375, 2058270703125000, 53524929199218750, 1380066321044921875, 35349237725830078125, 900813505310058593750
(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(5*(m+1)*x),m=0..4)/4!.
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FORMULA
| a(n)=A075500(n+5, 5)=(5^n)*S2(n+5, 5) with S2(n, m) := A008277(n, m) (Stirling2).
a(n)= sum(A075513(5, m)*((m+1)*5)^n, m=0..4)/4!.
G.f.: 1/product(1-5*k*x, k=1..5).
E.g.f.: diff((((exp(5*x)-1)/5)^5)/5!, x$5) = (exp(5*x)-64*exp(10*x)+486*exp(15*x)-1024*exp(20*x)+625*exp(25*x))/4!.
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CROSSREFS
| Cf. A075912, A075914.
Sequence in context: A017791 A017738 A166725 * A134228 A110902 A206696
Adjacent sequences: A075910 A075911 A075912 * A075914 A075915 A075916
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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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