A159511 Numerator of Hermite(n, 11/14).

1, 11, 23, -1903, -27695, 441331, 18425191, -56825527, -13264761823, -101361166885, 10584547092151, 215763961560961, -9036738188168207, -353142538865540413, 7628236524205351175, 568422165089780309561, -4960863874594282822079

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..450

Formula

From G. C. Greubel, Jun 11 2018: (Start)

a(n) = 7^n * Hermite(n,11/14).

E.g.f.: exp(11*x-49*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(11/7)^(n-2*k)/(k!*(n-2*k)!)). (End)

Mathematica

Numerator[Table[HermiteH[n, 11/14], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 28 2011 *)

Prog

(PARI) a(n)=numerator(polhermite(n, 11/14)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(11/7)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 11 2018

Crossrefs

Cf. A159507, A159508, A159509.

Sequence in context: A295654 A247347 A045498 * A156959 A091805 A229057

Adjacent sequences: A159508 A159509 A159510 * A159512 A159513 A159514

Keyword

sign,frac

Author

N. J. A. Sloane, Nov 12 2009

Status

approved