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A159542 Numerator of Hermite(n, 14/17). 4
1, 28, 206, -26600, -1102004, 30643088, 4042798024, 6928115488, -16163173571440, -484604466016832, 70511903870159584, 4775347121941757312, -314604965392105430336, -41930746668766980765440, 1189880803230804742112384, 372620264534124941133087232 (list; graph; refs; listen; history; text; internal format)
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, 14/17).

E.g.f.: exp(28*x-289*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(28/17)^(n-2*k)/(k!*(n-2*k)!)). (End)

MATHEMATICA

Numerator[Table[HermiteH[n, 14/17], {n, 0, 30}]] (* Vladimir Joseph Stephan Orlovsky, May 08 2011 *)

Table[17^n*HermiteH[n, 14/17], {n, 0, 50}] (* G. C. Greubel, Jul 02 2018 *)

PROG

(PARI) a(n)=numerator(polhermite(n, 14/17)) \\ Charles R Greathouse IV, Jan 29 2016

(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(28/17)^(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. A159540, A159541.

Sequence in context: A246902 A236372 A346376 * A244944 A155466 A053135

Adjacent sequences: A159539 A159540 A159541 * A159543 A159544 A159545

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane, Nov 12 2009

STATUS

approved

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Last modified December 3 23:46 EST 2022. Contains 358544 sequences. (Running on oeis4.)