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A076013
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Seventh column of triangle A075504.
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2
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1, 252, 37422, 4286520, 419818707, 37047106404, 3037410645984, 235940417032320, 17594974122819093, 1271468563282273356, 89638618747098243186, 6196581962116572990600, 421646012618644954061559
(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(7,m)*exp(9*(m+1)*x),m=0..6)/6!.
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FORMULA
| a(n)=A075504(n+7, 7)=(9^n)*S2(n+7, 7) with S2(n, m) := A008277(n, m) (Stirling2).
a(n)= sum(A075513(7, m)*((m+1)*9)^n, m=0..6)/6!.
G.f.: 1/product(1-9*k*x, k=1..7).
E.g.f.: diff((((exp(9*x)-1)/9)^7)/7!, x$7) = (exp(9*x)-384*exp(18*x)+10935*exp(27*x)-81920*exp(36*x)+234375*exp(45*x)-279936*exp(54*x)+117649*exp(63*x))/6!.
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CROSSREFS
| Cf. A076012.
Sequence in context: A177301 A109924 A047831 * A180886 A078263 A183507
Adjacent sequences: A076010 A076011 A076012 * A076014 A076015 A076016
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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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