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A075918
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Fifth column of triangle A075501.
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2
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1, 90, 5040, 226800, 9008496, 330674400, 11511434880, 386143718400, 12611398415616, 403864019919360, 12744269679697920, 397694704355020800, 12304809943691636736, 378212825199337758720, 11565710925825703772160
(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(6*(m+1)*x),m=0..4)/4!.
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FORMULA
| a(n)=A075501(n+5, 5)=(6^n)*S2(n+5, 5) with S2(n, m) := A008277(n, m) (Stirling2).
a(n)= sum(A075513(5, m)*((m+1)*6)^n, m=0..4)/4!.
G.f.: 1/product(1-6*k*x, k=1..5).
E.g.f.: diff((((exp(6*x)-1)/6)^5)/5!, x$5) = (exp(6*x)-64*exp(12*x)+486*exp(18*x)-1024*exp(24*x)+625*exp(30*x))/4!.
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CROSSREFS
| Cf. A075917, A075919.
Sequence in context: A197194 A111599 A111783 * A076010 A089513 A112004
Adjacent sequences: A075915 A075916 A075917 * A075919 A075920 A075921
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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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