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A076007
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Seventh column of triangle A075503.
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2
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1, 224, 29568, 3010560, 262090752, 20558512128, 1498264109056, 103450998210560, 6857541631868928, 440486826671603712, 27603867324502769664, 1696189816779885772800, 102592999712419955605504
(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(8*(m+1)*x),m=0..6)/6!.
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FORMULA
| a(n)=A075503(n+7, 7)=(8^n)*S2(n+7, 7) with S2(n, m) := A008277(n, m) (Stirling2).
a(n)= sum(A075513(7, m)*((m+1)*8)^n, m=0..6)/6!.
G.f.: 1/product(1-8*k*x, k=1..7).
E.g.f.: diff((((exp(8*x)-1)/8)^7)/7!, x$7) = (exp(8*x)-384*exp(16*x)+10935*exp(24*x)-81920*exp(32*x)+234375*exp(40*x)-279936*exp(48*x)+117649*exp(56*x))/6!.
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CROSSREFS
| Cf. A076006.
Sequence in context: A032802 A007771 A051367 * A204977 A204704 A206649
Adjacent sequences: A076004 A076005 A076006 * A076008 A076009 A076010
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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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