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A159526

Numerator of Hermite(n, 11/16).

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

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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

URL: https://oeis.org/A159526

⇱ A159526 - OEIS