A159526 Numerator of Hermite(n, 11/16).

1, 11, -7, -2893, -29135, 1160731, 31414441, -545882557, -34152047263, 183311218475, 41359581850201, 220317040704211, -55810803797336687, -952325816292371653, 82393593539552158985, 2612897391731003751011, -129453828286899103990079

Offset

0,2

Links

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

Formula

From G. C. Greubel, Jun 09 2018: (Start)

a(n) = 8^n * Hermite(n, 11/16).

E.g.f.: exp(11*x-64*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(11/8)^(n-2*k)/(k!*(n-2*k)!)). (End)

Mathematica

Numerator[Table[HermiteH[n, 11/16], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 29 2011 *)

Prog

(PARI) a(n)=numerator(polhermite(n, 11/16)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(11/8)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 09 2018

Crossrefs

Cf. A159521.

Sequence in context: A262866 A002749 A055505 * A090841 A085757 A003567

Adjacent sequences: A159523 A159524 A159525 * A159527 A159528 A159529

Keyword

sign,frac

Author

N. J. A. Sloane, Nov 12 2009

Status

approved