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A159242
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Numerator of Hermite(n, 7/9).
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1
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1, 14, 34, -4060, -73364, 1603784, 81877816, -412588624, -98625684080, -846044720416, 131951621302816, 3217915145313344, -190086977127231296, -8916844722270378880, 275487347718163805056, 24080226698163512570624, -332311081180848870297344
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = 9^n * Hermite(n, 7/9).
E.g.f.: exp(14*x-81*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(14/9)^(n-2*k)/(k!*(n-2*k)!)). (End)
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MATHEMATICA
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PROG
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(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(14/9)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 28 2018
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CROSSREFS
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KEYWORD
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sign,frac
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AUTHOR
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STATUS
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approved
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