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A159968 Numerator of Hermite(n, 11/24). 1
1, 11, -167, -8173, 54385, 10013531, 31834441, -16953202717, -250663462943, 36302880967595, 1049051386591801, -93012731934163789, -4346534843998627247, 273640118280485155067, 19283467757016197118505, -891198811579737976926589, -93107767637687089298134079 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..428

FORMULA

From G. C. Greubel, Jul 16 2018: (Start)

a(n) = 12^n * Hermite(n, 11/24).

E.g.f.: exp(11*x - 144*x^2).

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

EXAMPLE

Numerators of 1, 11/12, -167/144, -8173/1728, 54385/20736, ...

MATHEMATICA

Numerator[HermiteH[Range[0, 20], 11/24]] (* Harvey P. Dale, Mar 27 2013 *)

Table[12^n*HermiteH[n, 11/12], {n, 0, 30}] (* G. C. Greubel, Jul 16 2018 *)

PROG

(PARI) a(n)=numerator(polhermite(n, 11/24)) \\ Charles R Greathouse IV, Jan 29 2016

(PARI) x='x+O('x^30); Vec(serlaplace(exp(11*x - 144*x^2))) \\ G. C. Greubel, Jul 16 2018

(MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(11/12)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jul 16 2018

CROSSREFS

Cf. A001021 (denominators).

Sequence in context: A075141 A088293 A145559 * A059091 A255971 A157944

Adjacent sequences:  A159965 A159966 A159967 * A159969 A159970 A159971

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane, Nov 12 2009

STATUS

approved

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Last modified September 28 17:43 EDT 2020. Contains 337393 sequences. (Running on oeis4.)