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A159618 Numerator of Hermite(n, 2/19). 8
1, 4, -706, -8600, 1494796, 30815984, -5272949624, -154586641184, 26031140834960, 997017002818624, -165162285134295584, -7859111900887647616, 1280282420933024937664, 73212475193022678695680, -11723880902105281350131584, -786927222859494361656459776 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..397

FORMULA

From G. C. Greubel, Jun 09 2018: (Start)

a(n) = 19^n * Hermite(n,2/19).

E.g.f.: exp(4*x-361*x^2).

a(n) = Sum_{k=0..floor(n/2)} (-1)^k*n!*(4/19)^(n-2k)/(k!*(n-2k)!). (End)

MATHEMATICA

Numerator[Table[HermiteH[n, 2/19], {n, 0, 30}]] (* Vladimir Joseph Stephan Orlovsky, May 20 2011 *)

PROG

(PARI) a(n)=numerator(polhermite(n, 2/19)) \\ Charles R Greathouse IV, Jan 29 2016

(MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(4/19)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 09 2018

CROSSREFS

Cf. A159564.

Sequence in context: A202368 A114765 A307920 * A219012 A059754 A134579

Adjacent sequences:  A159615 A159616 A159617 * A159619 A159620 A159621

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane, Nov 12 2009

STATUS

approved

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Last modified November 22 10:59 EST 2019. Contains 329389 sequences. (Running on oeis4.)