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A076006
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Sixth column of triangle A075503.
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2
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1, 168, 17024, 1354752, 93499392, 5881430016, 346987429888, 19548208103424, 1064285732077568, 56464495286943744, 2936605030892961792, 150373246607730671616, 7606369972746352328704, 381025640076812853706752
(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(6,m)*exp(8*(m+1)*x),m=0..5)/5!.
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FORMULA
| a(n)=A075503(n+6, 6)=(8^n)*S2(n+6, 6) with S2(n, m) := A008277(n, m) (Stirling2).
a(n) = sum(A075513(6, m)*((m+1)*8)^n, m=0..5)/5!.
G.f.: 1/product(1-8*k*x, k=1..6).
E.g.f.: diff((((exp(8*x)-1)/8)^6)/6!, x, 6) = (-exp(8*x)+160*exp(16*x)-2430*exp(24*x)+10240*exp(32*x)-15625*exp(40*x)+7776*exp(48*x))/5!.
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CROSSREFS
| Cf. A076005, A076007.
Sequence in context: A035827 A075920 A181202 * A130215 A185404 A146200
Adjacent sequences: A076003 A076004 A076005 * A076007 A076008 A076009
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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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