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A049434
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Stirling numbers of second kind: 8th column of Stirling2 triangle A008277.
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3
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1, 36, 750, 11880, 159027, 1899612, 20912320, 216627840, 2141764053, 20415995028, 189036065010, 1709751003480, 15170932662679, 132511015347084, 1142399079991620, 9741955019900400, 82318282158320505, 690223721118368580, 5749622251945664950
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OFFSET
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8,2
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REFERENCES
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See A000771.
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LINKS
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Table of n, a(n) for n=8..26.
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FORMULA
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G.f.: x^8/product(1-k*x, k=1..8). E.g.f. ((exp(x)-1)^8)/8!.
a(n) = det(|s(i+8,j+7)|, 1 <= i,j <= n-8), where s(n,k) are Stirling numbers of the first kind. [Mircea Merca, Apr 06 2013]
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MATHEMATICA
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lst={}; Do[f=StirlingS2[n, 8]; AppendTo[lst, f], {n, 8, 5!}]; lst [From Vladimir Joseph Stephan Orlovsky, Sep 27 2008]
CoefficientList[Series[1/((1 - x) (1 - 2 x) (1 - 3 x) (1 - 4 x) (1 - 5 x) (1 - 6 x) (1 - 7 x) (1 - 8 x)), {x, 0, 25}], x] (* From Vladimir Joseph Stephan Orlovsky, Jun 20 2011 *)
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CROSSREFS
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Cf. A000225, A000392, A000453, A000481, A000770, A000771, A049435. a(n)= A008277(n, 8).
Sequence in context: A058001 A004329 A089909 * A215768 A144941 A036084
Adjacent sequences: A049431 A049432 A049433 * A049435 A049436 A049437
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KEYWORD
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easy,nonn
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AUTHOR
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Wolfdieter Lang
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STATUS
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approved
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