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A159488 Numerator of Hermite(n, 1/13). 13
1, 2, -334, -2020, 334636, 3400312, -558734216, -8013301168, 1305938552720, 24279843463712, -3924105390446816, -89914081688240192, 14409995678304781504, 393511506684111781760, -62530497997102986365056, -1987157445623422924018432, 313055309954065295022797056 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..422

FORMULA

From G. C. Greubel, Jun 08 2018: (Start)

a(n) = 13^n * Hermite(n,1/13).

E.g.f.: exp(2*x-169*x^2).

a(n) = Sum_{k=0..floor(n/2)} (-1)^k*n!*(2/13)^(n-2k)/(k!*(n-2k)!). (End)

MATHEMATICA

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

PROG

(PARI) a(n)=numerator(polhermite(n, 1/13)) \\ Charles R Greathouse IV, Jan 29 2016

(MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(2/13)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 08 2018

CROSSREFS

Cf. A159280.

Sequence in context: A142355 A203608 A264942 * A083863 A246872 A057626

Adjacent sequences:  A159485 A159486 A159487 * A159489 A159490 A159491

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane, Nov 12 2009

STATUS

approved

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Last modified July 16 12:42 EDT 2018. Contains 312656 sequences. (Running on oeis4.)