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!)
A158981 Numerator of Hermite(n, 2/7). 2
1, 4, -82, -1112, 19660, 514544, -7575224, -332852768, 3865192592, 276417340480, -2303430504224, -280102715687296, 1362687220804288, 334851542531477248, -396657349178753920, -461002945749901799936, -1260925479706838937344, 717808917017018666550272 (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, Jul 10 2018: (Start)

a(n) = 7^n * Hermite(n, 2/7).

E.g.f.: exp(4*x - 49*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(4/7)^(n-2*k)/(k!*(n-2*k)!)). (End)

MATHEMATICA

Numerator[Table[HermiteH[n, 2/7], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 01 2011*)

Table[7^n*HermiteH[n, 2/7], {n, 0, 50}] (* G. C. Greubel, Jul 10 2018 *)

PROG

(PARI) a(n)=numerator(polhermite(n, 2/7)) \\ Charles R Greathouse IV, Jan 29 2016

(MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(4/7)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jul 10 2018

CROSSREFS

Cf. A158980.

Sequence in context: A233001 A318868 A289224 * A317889 A291371 A007154

Adjacent sequences:  A158978 A158979 A158980 * A158982 A158983 A158984

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 September 19 16:01 EDT 2020. Contains 337178 sequences. (Running on oeis4.)