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A159480
Numerator of Hermite(n, 5/12).
1
1, 5, -47, -955, 5377, 301925, -426095, -132562075, -448058495, 74115462725, 660919218385, -50058537070075, -773740706311295, 39381872496988325, 921130663592313745, -35091274159002662875, -1170277487474712158975, 34573760393797506837125
OFFSET
0,2
LINKS
FORMULA
From G. C. Greubel, Jun 12 2018: (Start)
a(n) = 6^n * Hermite(n,5/12).
E.g.f.: exp(5*x-36*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(5/6)^(n-2*k)/(k!*(n-2*k)!)). (End)
MATHEMATICA
Numerator[Table[HermiteH[n, 5/12], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 13 2011 *)
PROG
(PARI) a(n)=numerator(polhermite(n, 5/12)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(5/6)^(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
CROSSREFS
Cf. A159280.
Sequence in context: A061572 A140422 A145564 * A196460 A093612 A069985
KEYWORD
sign,frac
AUTHOR
N. J. A. Sloane, Nov 12 2009
STATUS
approved