A159541 Numerator of Hermite(n, 13/17).

1, 26, 98, -27508, -885140, 40584856, 3613260856, -46803498352, -15836144380528, -195320377514080, 77301293252140576, 3138785406587037376, -409873201925846810432, -32427318830159708311168, 2236676949686660517495680, 320555464665505533108859136

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..404

Formula

From G. C. Greubel, Jul 02 2018: (Start)

a(n) = 17^n * Hermite(n, 13/17).

E.g.f.: exp(26*x-289*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(26/17)^(n-2*k)/(k!*(n-2*k)!)). (End)

Mathematica

Numerator[Table[HermiteH[n, 13/17], {n, 0, 30}]] (* Vladimir Joseph Stephan Orlovsky, May 08 2011 *)
Table[17^n*HermiteH[n, 13/17], {n, 0, 50}] (* G. C. Greubel, Jul 02 2018 *)

Prog

(PARI) a(n)=numerator(polhermite(n, 13/17)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(26/17)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jul 02 2018

Crossrefs

Cf. A159539, A159540.

Sequence in context: A095796 A256645 A175549 * A144129 A026915 A136293

Adjacent sequences: A159538 A159539 A159540 * A159542 A159543 A159544

Keyword

sign,frac

Author

N. J. A. Sloane, Nov 12 2009

Status

approved