A159505 Numerator of Hermite(n, 11/13).

1, 22, 146, -11660, -404564, 6863912, 834719224, 4443809392, -1877181877360, -53314061897888, 4537477909175584, 280026043216724288, -10709769915546886976, -1371400569429065225600, 16887916481473586409344, 6861001657130755548544768, 65320299895805538972610816

Offset

0,2

Links

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

Formula

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

a(n) = 13^n * Hermite(n,11/13).

E.g.f.: exp(22*x-169*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(22/13)^(n-2*k)/(k!*(n-2*k)!)). (End)

Mathematica

Numerator[Table[HermiteH[n, 11/13], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 14 2011 *)

Prog

(PARI) a(n)=numerator(polhermite(n, 11/13)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(22/13)^(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. A159280, A159488.

Sequence in context: A200776 A169722 A262139 * A223836 A224144 A225008

Adjacent sequences: A159502 A159503 A159504 * A159506 A159507 A159508

Keyword

sign,frac

Author

N. J. A. Sloane, Nov 12 2009

Status

approved