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A159472
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Numerator of Hermite(n, 1/12).
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1
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1, 1, -71, -215, 15121, 77041, -5366519, -38648231, 2666077345, 24927458401, -1702690661159, -19650460709879, 1328880542928049, 18306878596263505, -1225525309584390359, -19678858934618003399, 1303888475416523584321, 23973933968096463499969
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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) = 6^n * Hermite(n,1/12).
E.g.f.: exp(x-36*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(1/6)^(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)*(1/6)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 15 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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