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A159014
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Numerator of Hermite(n, 1/8).
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4
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1, 1, -31, -95, 2881, 15041, -445919, -3333791, 96552065, 950002561, -26856992159, -330857811679, 9122803428289, 136172203113025, -3658914023055199, -64664061017690399, 1691614670048805121, 34799613911106289409, -885438766595443696415
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OFFSET
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0,3
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LINKS
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FORMULA
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a(n) = 4^n * Hermite(n,1/8).
E.g.f.: exp(x-16*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(1/4)^(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)*(1/4)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 10 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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