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A159497 Numerator of Hermite(n, 5/13). 1
1, 10, -238, -9140, 149932, 13856600, -114819080, -29249375600, -20831812720, 78881993495200, 852190309246240, -258099234921313600, -5749435918990656320, 989356137650941398400, 35156582804554357854080, -4330067415318711118688000, -221544548972277705507065600 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..422

FORMULA

From G. C. Greubel, Jun 12 2018: (Start)

a(n) = 13^n * Hermite(n,5/13).

E.g.f.: exp(10*x-169*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(10/13)^(n-2*k)/(k!*(n-2*k)!)). (End)

MATHEMATICA

Numerator[Table[HermiteH[n, 5/13], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 14 2011 *)

PROG

(PARI) a(n)=numerator(polhermite(n, 5/13)) \\ Charles R Greathouse IV, Jan 29 2016

(MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(10/13)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 12 2018

CROSSREFS

Cf. A159280, A159488.

Sequence in context: A167867 A268080 A096331 * A177595 A013922 A215835

Adjacent sequences:  A159494 A159495 A159496 * A159498 A159499 A159500

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane, Nov 12 2009

STATUS

approved

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Last modified August 7 17:44 EDT 2020. Contains 336278 sequences. (Running on oeis4.)