A159480 Numerator of Hermite(n, 5/12).

1, 5, -47, -955, 5377, 301925, -426095, -132562075, -448058495, 74115462725, 660919218385, -50058537070075, -773740706311295, 39381872496988325, 921130663592313745, -35091274159002662875, -1170277487474712158975, 34573760393797506837125

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..450

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

Adjacent sequences: A159477 A159478 A159479 * A159481 A159482 A159483

Keyword

sign,frac

Author

N. J. A. Sloane, Nov 12 2009

Status

approved