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A159536
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Numerator of Hermite(n, 8/17).
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3
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1, 16, -322, -23648, 179980, 57553856, 400719496, -193185260672, -4712275251568, 817892241322240, 37599531719812576, -4125824647325545984, -305071017031777093952, 23735583481341553441792, 2672072957678237939024000, -149315174208164043426596864
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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) = 17^n * Hermite(n, 8/17).
E.g.f.: exp(16*x-289*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(16/17)^(n-2*k)/(k!*(n-2*k)!)). (End)
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MATHEMATICA
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Table[17^n*HermiteH[n, 8/17], {n, 0, 30}] (* G. C. Greubel, Jul 09 2018 *)
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PROG
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(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(16/17)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jul 09 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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