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A159494
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Numerator of Hermite(n, 3/13).
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1
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1, 6, -302, -5868, 271020, 9559656, -400665864, -21790977552, 817229568912, 63826180714080, -2103055264345824, -228350822399665344, 6449054538439781568, 964885262883681324672, -22547834064602312261760, -4701124068353193901918464, 86110774297414559755612416
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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) = 13^n * Hermite(n,3/13).
E.g.f.: exp(6*x-169*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(6/13)^(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)*(6/13)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 12 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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