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A160293 Numerator of Hermite(n, 11/30). 1
1, 11, -329, -13519, 295441, 27584051, -361317689, -78451432279, 275184965281, 285452190822491, 2025474989659351, -1262254633814956639, -23910902170778310479, 6553155098722204435331, 211963483784997365090791, -38953278800314916926586599, -1859239582352196300555291839 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..412

FORMULA

From G. C. Greubel, Oct 03 2018: (Start)

a(n) = 15^n * Hermite(n, 11/30).

E.g.f.: exp(11*x - 225*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(11/15)^(n-2*k)/(k!*(n-2*k)!)). (End)

EXAMPLE

Numerators of 1, 11/15, -329/225, -13519/3375, 295441/50625, ...

MATHEMATICA

Numerator[HermiteH[Range[0, 20], 11/30]] (* Harvey P. Dale, Jul 24 2013 *)

Table[15^n*HermiteH[n, 11/30], {n, 0, 30}] (* G. C. Greubel, Oct 03 2018 *)

PROG

(PARI) a(n)=numerator(polhermite(n, 11/30)) \\ Charles R Greathouse IV, Jan 29 2016

(PARI) x='x+O('x^30); Vec(serlaplace(exp(11*x - 225*x^2))) \\ G. C. Greubel, Oct 03 2018

(MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(11/15)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Oct 03 2018

CROSSREFS

Cf. A001024 (denominators).

Sequence in context: A108274 A295171 A254545 * A084944 A107441 A086923

Adjacent sequences:  A160290 A160291 A160292 * A160294 A160295 A160296

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane, Nov 12 2009

STATUS

approved

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Last modified August 7 19:57 EDT 2020. Contains 336279 sequences. (Running on oeis4.)