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A159245
Numerator of Hermite(n, 8/9).
1
1, 16, 94, -3680, -104564, 711616, 96082696, 845632384, -95427659120, -2622782115584, 97169013147616, 5803611237607936, -80297401627324736, -12566978671947023360, -31965330924006479744, 27990462333191745304576, 525523151476403670651136
OFFSET
0,2
COMMENTS
Denominators are A001019. - Robert Israel, Jun 07 2018
LINKS
FORMULA
From Robert Israel, Jun 07 2018: (Start)
E.g.f.: exp(16*x-81*x^2).
a(n+2)=16*a(n+1)-162*(n+1)*a(n). (End)
MAPLE
f:= gfun:-rectoproc({-162*(x+1)*a(x) + 16*a(x+1)-a(x+2)=0, a(0)=1, a(1)=16}, a(x), remember):
map(f, [$0..50]); # Robert Israel, Jun 07 2018
MATHEMATICA
Numerator[Table[HermiteH[n, 8/9], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 02 2011*)
PROG
(PARI) a(n)=numerator(polhermite(n, 8/9)) \\ Charles R Greathouse IV, Jan 29 2016
CROSSREFS
KEYWORD
sign,frac
AUTHOR
N. J. A. Sloane, Nov 12 2009
STATUS
approved