login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A160197 Numerator of Hermite(n, 15/28). 1
1, 15, -167, -14265, -17583, 22103775, 366019305, -46497789225, -1701823811295, 120289709840175, 7808380053851385, -354409961765715225, -38985884218692900495, 1082356196865530910975, 214907408931441984587145, -2716359674426403870623625 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..417

FORMULA

From G. C. Greubel, Sep 25 2018: (Start)

a(n) = 14^n * Hermite(n, 15/28).

E.g.f.: exp(15*x - 196*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(15/14)^(n-2*k)/(k!*(n-2*k)!)). (End)

EXAMPLE

Numerators of 1, 15/14, -167/196, -14265/2744, -17583/38416, ...

MATHEMATICA

Table[14^n*HermiteH[n, 15/28], {n, 0, 30}] (* G. C. Greubel, Sep 25 2018 *)

PROG

(PARI) a(n)=numerator(polhermite(n, 15/28)) \\ Charles R Greathouse IV, Jan 29 2016

(PARI) x='x+O('x^30); Vec(serlaplace(exp(15*x - 196*x^2))) \\ G. C. Greubel, Sep 25 2018

(MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(15/14)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Sep 25 2018

CROSSREFS

Cf. A001023 (denominators).

Sequence in context: A167615 A210326 A016234 * A055660 A121114 A121116

Adjacent sequences:  A160194 A160195 A160196 * A160198 A160199 A160200

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane, Nov 12 2009

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 29 16:58 EST 2020. Contains 331347 sequences. (Running on oeis4.)