login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A159249 Numerator of Hermite(n, 3/10). 1
1, 3, -41, -423, 4881, 99243, -922521, -32540463, 225260961, 13691968083, -60291528201, -7026858626103, 12079764632241, 4252354469558523, 4905216397718919, -2961932479497809343, -12564709736782617279, 2331851854387899622563, 17675558839428923554839 (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, Jun 02 2018: (Start)

a(n) = 5^n * Hermite(n, 3/10).

E.g.f.: exp(3*x-25*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(3/5)^(n-2*k)/(k!*(n-2*k)!)). (End)

MATHEMATICA

Numerator[Table[HermiteH[n, 3/10], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 12 2011 *)

PROG

(PARI) a(n)=numerator(polhermite(n, 3/10)) \\ Charles R Greathouse IV, Jan 29 2016

(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(3/5)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 28 2018

CROSSREFS

Cf. A159247.

Sequence in context: A280176 A322244 A181226 * A328509 A087544 A305667

Adjacent sequences: A159246 A159247 A159248 * A159250 A159251 A159252

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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 5 09:12 EST 2022. Contains 358585 sequences. (Running on oeis4.)