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A159485 Numerator of Hermite(n, 7/12). 1
1, 7, -23, -1169, -3215, 314167, 3356569, -112224161, -2477279903, 47300157415, 1936378479049, -20501463985457, -1677122003305007, 5973410860299799, 1611600071115585145, 5260002350626898623, -1703708060350443666239, -17985479130375292877369 (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 12 2018: (Start)

a(n) = 6^n * Hermite(n,7/12).

E.g.f.: exp(7*x-36*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(7/6)^(n-2*k)/(k!*(n-2*k)!)). (End)

MATHEMATICA

Numerator[Table[HermiteH[n, 7/12], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 13 2011 *)

PROG

(PARI) a(n)=numerator(polhermite(n, 7/12)) \\ Charles R Greathouse IV, Jan 29 2016

(MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(7/6)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 12 2018

CROSSREFS

Cf. A159280.

Sequence in context: A050918 A322557 A228699 * A009047 A129662 A012482

Adjacent sequences:  A159482 A159483 A159484 * A159486 A159487 A159488

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane, Nov 12 2009

STATUS

approved

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Last modified May 9 07:36 EDT 2021. Contains 343692 sequences. (Running on oeis4.)