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A159521 Numerator of Hermite(n, 1/16). 8
1, 1, -127, -383, 48385, 244481, -30721919, -218483327, 27308356097, 251035282945, -31208190940799, -352533353110399, 43588599491534593, 585079829869107457, -71946349724044455295, -1120409404849485018239, 137016582065315869148161 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

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,1/16).

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

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

MATHEMATICA

Numerator[Table[HermiteH[n, 1/16], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 28 2011 *)

PROG

(PARI) a(n)=numerator(polhermite(n, 1/16)) \\ Charles R Greathouse IV, Jan 29 2016

(MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(1/8)^(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. A159513.

Sequence in context: A142889 A095312 A143034 * A122691 A082251 A142384

Adjacent sequences:  A159518 A159519 A159520 * A159522 A159523 A159524

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane, Nov 12 2009

STATUS

approved

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Last modified June 14 21:10 EDT 2021. Contains 345040 sequences. (Running on oeis4.)