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A159542
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Numerator of Hermite(n, 14/17).
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4
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1, 28, 206, -26600, -1102004, 30643088, 4042798024, 6928115488, -16163173571440, -484604466016832, 70511903870159584, 4775347121941757312, -314604965392105430336, -41930746668766980765440, 1189880803230804742112384, 372620264534124941133087232
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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, 14/17).
E.g.f.: exp(28*x-289*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(28/17)^(n-2*k)/(k!*(n-2*k)!)). (End)
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MATHEMATICA
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Table[17^n*HermiteH[n, 14/17], {n, 0, 50}] (* G. C. Greubel, Jul 02 2018 *)
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PROG
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(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(28/17)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jul 02 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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