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A159449 Numerator of Hermite(n, 6/11). 1
1, 12, -98, -6984, -12660, 6608592, 94621704, -8460215136, -261811748208, 13237235524800, 729072813894624, -23285236203280512, -2220214665026855232, 40977749954004344064, 7476528335622538688640, -49114276816696253425152, -27729169180110170480865024 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..435

FORMULA

From G. C. Greubel, Jun 15 2018: (Start)

a(n) = 11^n * Hermite(n,6/11).

E.g.f.: exp(12*x-121*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(12/11)^(n-2*k)/(k!*(n-2*k)!)). (End)

MATHEMATICA

Numerator[Table[HermiteH[n, 6/11], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 12 2011 *)

PROG

(PARI) a(n)=numerator(polhermite(n, 6/11)) \\ Charles R Greathouse IV, Jan 29 2016

(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(12/11)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 15 2018

CROSSREFS

Cf. A159280.

Sequence in context: A041268 A216028 A238755 * A282285 A090230 A133652

Adjacent sequences: A159446 A159447 A159448 * A159450 A159451 A159452

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane, Nov 12 2009

STATUS

approved

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Last modified November 30 11:57 EST 2022. Contains 358441 sequences. (Running on oeis4.)