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A158961
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Numerator of Hermite(n, 2/5).
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3
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1, 4, -34, -536, 2956, 119024, -262904, -36758816, -55018864, 14483450944, 82692292576, -6910956301696, -73124586123584, 3854075436523264, 62947282726422656, -2446063674660594176, -56994716743459368704, 1728872072754637865984
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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) = 5^n * Hermite(n, 2/5).
E.g.f.: exp(4*x-25*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(4/5)^(n-2*k)/(k!*(n-2*k)!)). (End)
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MATHEMATICA
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Table[5^n*HermiteH[n, 2/5], {n, 0, 30}] (* G. C. Greubel, Jul 09 2018 *)
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PROG
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(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(4/5)^(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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