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A159472 Numerator of Hermite(n, 1/12). 1
1, 1, -71, -215, 15121, 77041, -5366519, -38648231, 2666077345, 24927458401, -1702690661159, -19650460709879, 1328880542928049, 18306878596263505, -1225525309584390359, -19678858934618003399, 1303888475416523584321, 23973933968096463499969 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

T. D. Noe, Table of n, a(n) for n = 0..100

FORMULA

From G. C. Greubel, Jun 15 2018: (Start)

a(n) = 6^n * Hermite(n,1/12).

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

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

MATHEMATICA

Numerator[Table[HermiteH[n, 1/12], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 13 2011 *)

PROG

(PARI) a(n)=numerator(polhermite(n, 1/12)) \\ Charles R Greathouse IV, Jan 29 2016

(MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(1/6)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 15 2018

CROSSREFS

Cf. A159280.

Sequence in context: A166255 A142076 A096698 * A160369 A001126 A140628

Adjacent sequences:  A159469 A159470 A159471 * A159473 A159474 A159475

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane, Nov 12 2009

STATUS

approved

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Last modified September 17 16:57 EDT 2019. Contains 327136 sequences. (Running on oeis4.)