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A075510
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Fifth column of triangle A075497.
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4
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1, 30, 560, 8400, 111216, 1360800, 15790720, 176563200, 1922176256, 20518417920, 215825326080, 2244998246400, 23153670762496, 237224718704640, 2418102840688640, 24549985173504000, 248464183682727936
(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(2*(m+1)*x),m=0..4)/4!.
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FORMULA
| a(n)=A075497(n+5, 5)=(2^n)*S2(n+5, 5) with S2(n, m) := A008277(n, m) (Stirling2).
a(n)=(2^n-64*4^n+486*6^n-1024*8^n+625*10^n)/4!.
G.f.: 1/((1-2*x)*(1-4*x)*(1-6*x)*(1-8*x)*(1-10*x)).
E.g.f.: diff((((exp(2*x)-1)/2)^5)/5!, x$5) = (exp(2*x)-64*exp(4*x)+486*exp(6*x)-1024*exp(8*x)+625*exp(10*x))/4!.
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CROSSREFS
| Cf. A025966, A075511.
Sequence in context: A139626 A037961 A143399 * A028200 A028181 A177097
Adjacent sequences: A075507 A075508 A075509 * A075511 A075512 A075513
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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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