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A160286 Numerator of Hermite(n, 24/29). 1
1, 48, 622, -131616, -9456180, 431615808, 100244032584, 455846829696, -1158392591818608, -61736719347682560, 14572384526261325024, 1737886076688564260352, -186199726823835951097152, -44015079459426106683608064, 1958719412677543785877138560 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..371

FORMULA

From G. C. Greubel, Oct 03 2018: (Start)

a(n) = 29^n * Hermite(n, 24/29).

E.g.f.: exp(48*x - 841*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(48/29)^(n-2*k)/(k!*(n-2*k)!)). (End)

EXAMPLE

Numerators of 1, 48/29, 622/841, -131616/24389, -9456180/707281, ...

MATHEMATICA

Table[29^n*HermiteH[n, 24/29], {n, 0, 30}] (* G. C. Greubel, Oct 03 2018 *)

PROG

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

(PARI) x='x+O('x^30); Vec(serlaplace(exp(48*x - 841*x^2))) \\ G. C. Greubel, Oct 03 2018

(MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(48/29)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Oct 03 2018

CROSSREFS

Cf. A009973 (denominators).

Sequence in context: A171343 A151624 A187611 * A008658 A215893 A136038

Adjacent sequences:  A160283 A160284 A160285 * A160287 A160288 A160289

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane, Nov 12 2009

STATUS

approved

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Last modified May 7 01:15 EDT 2021. Contains 343635 sequences. (Running on oeis4.)