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A159488
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Numerator of Hermite(n, 1/13).
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13
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1, 2, -334, -2020, 334636, 3400312, -558734216, -8013301168, 1305938552720, 24279843463712, -3924105390446816, -89914081688240192, 14409995678304781504, 393511506684111781760, -62530497997102986365056, -1987157445623422924018432, 313055309954065295022797056
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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,1/13).
E.g.f.: exp(2*x-169*x^2).
a(n) = Sum_{k=0..floor(n/2)} (-1)^k*n!*(2/13)^(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)*(2/13)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 08 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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