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A159498
Numerator of Hermite(n, 6/13).
1
1, 12, -194, -10440, 71436, 14972112, 58938504, -29656181088, -495322673520, 74246441579712, 2397728871804384, -222180226077773952, -11580918658301987136, 762191973071827303680, 60032860261440859119744, -2886298093438596491576832, -339002178646768313636024064
OFFSET
0,2
LINKS
FORMULA
From G. C. Greubel, Jun 12 2018: (Start)
a(n) = 13^n * Hermite(n,6/13).
E.g.f.: exp(12*x-169*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(12/13)^(n-2*k)/(k!*(n-2*k)!)). (End)
MATHEMATICA
Numerator[Table[HermiteH[n, 6/13], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 14 2011 *)
PROG
(PARI) a(n)=numerator(polhermite(n, 6/13)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(12/13)^(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
CROSSREFS
Sequence in context: A296841 A342111 A296942 * A034671 A066230 A262845
KEYWORD
sign,frac
AUTHOR
N. J. A. Sloane, Nov 12 2009
STATUS
approved