A159245 Numerator of Hermite(n, 8/9).

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

Robert Israel, Table of n, a(n) for n = 0..450

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

Cf. A001019, A159030, A159197.

Sequence in context: A317150 A317608 A379569 * A066487 A318021 A333511

Adjacent sequences: A159242 A159243 A159244 * A159246 A159247 A159248

Keyword

sign,frac

Author

N. J. A. Sloane, Nov 12 2009

Status

approved