A159500 Numerator of Hermite(n, 7/13).

1, 14, -142, -11452, -16340, 15254344, 241175416, -27559353808, -956451987568, 61130164870880, 3765349254374176, -153905067702335936, -16154239475595889472, 398079601942332103808, 76554842682960987793280, -811944878829661686113536, -399500280706227471717519104

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,7/13).

E.g.f.: exp(14*x-169*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(14/31)^(n-2*k)/(k!*(n-2*k)!)). (End)

Mathematica

Numerator[Table[HermiteH[n, 7/13], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 14 2011 *)

Prog

(PARI) a(n)=numerator(polhermite(n, 7/13)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(14/13)^(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: A039916 A378625 A241217 * A167834 A238473 A016233

Adjacent sequences: A159497 A159498 A159499 * A159501 A159502 A159503

Keyword

sign,frac

Author

N. J. A. Sloane, Nov 12 2009

Status

approved