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A159521
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Numerator of Hermite(n, 1/16).
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8
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1, 1, -127, -383, 48385, 244481, -30721919, -218483327, 27308356097, 251035282945, -31208190940799, -352533353110399, 43588599491534593, 585079829869107457, -71946349724044455295, -1120409404849485018239, 137016582065315869148161
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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) = 8^n * Hermite(n,1/16).
E.g.f.: exp(2*x-64*x^2).
a(n) = Sum_{k=0..floor(n/2)} (-1)^k*n!*(1/8)^(n-2k)/(k!*(n-2k)!). (End)
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MATHEMATICA
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PROG
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(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(1/8)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 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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