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A076010
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Fourth column of triangle A075504.
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2
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1, 90, 5265, 255150, 11160261, 458810730, 18124795305, 697117731750, 26323112938221, 981154011007170, 36233774365169745, 1329174591745823550, 48521083977375207381, 1764912230785563088410, 64027726517340144702585
(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(4,m)*exp(9*(m+1)*x),m=0..3)/3!.
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FORMULA
| a(n)=A075504(n+4, 4)=(9^n)*S2(n+4, 4) with S2(n, m) := A008277(n, m) (Stirling2).
a(n)= (-9^n+24*18^n-81*27^n+64*36^n)/3!.
G.f.: 1/product(1-9*k*x, k=1..4).
E.g.f.: diff((((exp(9*x)-1)/9)^4)/4!, x$4) = (-exp(9*x)+24*exp(18*x)-81*exp(27*x)+64*exp(36*x))/3!.
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CROSSREFS
| Cf. A076009, A076011.
Sequence in context: A111599 A111783 A075918 * A089513 A112004 A166822
Adjacent sequences: A076007 A076008 A076009 * A076011 A076012 A076013
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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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