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A159528 Numerator of Hermite(n, 15/16). 1
1, 15, 97, -2385, -73023, 125775, 48621345, 632724975, -34073850495, -1159018131825, 21867803792865, 1811560265628975, -3616463755919295, -2836803524344895025, -36534257175323718495, 4535538057996196107375, 138178844646564481121025 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

FORMULA

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

a(n) = 8^n * Hermite(n, 15/16).

E.g.f.: exp(15*x-64*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(15/8)^(n-2*k)/(k!*(n-2*k)!)). (End)

MATHEMATICA

Numerator[Table[HermiteH[n, 15/16], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 29 2011 *)

PROG

(PARI) a(n)=numerator(polhermite(n, 15/16)) \\ Charles R Greathouse IV, Jan 29 2016

(MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(15/8)^(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. A159521.

Sequence in context: A283168 A232296 A278203 * A108681 A108254 A174383

Adjacent sequences:  A159525 A159526 A159527 * A159529 A159530 A159531

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane, Nov 12 2009

STATUS

approved

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Last modified December 5 10:45 EST 2019. Contains 329751 sequences. (Running on oeis4.)