login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A159761 Numerator of Hermite(n, 11/21). 1
1, 22, -398, -47564, 6700, 167953192, 3665423224, -808168981136, -40410040569968, 4813419438356320, 426670129688245024, -33067616593161351872, -4867041163284902964032, 242912748429751883004544, 61149574443679238811690880, -1654195979849632997482909952 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..390

FORMULA

From G. C. Greubel, May 22 2018: (Start)

a(n) = 21^n * Hermite(n,11/21).

E.g.f.: exp(22*x-441*x^2).

a(n) = Sum_{k=0..floor(n/2)} (-1)^k*n!*(22/21)^(n-2k)/(k!*(n-2k)!).

a(n+2) = 22*a(n+1) - 882*(n+1)*a(n). (End)

MATHEMATICA

Numerator[Table[HermiteH[n, 11/21], {n, 0, 30}]] (* Vladimir Joseph Stephan Orlovsky, Jun 17 2011 *)

PROG

(PARI) a(n)=numerator(polhermite(n, 11/21)) \\ Charles R Greathouse IV, Jan 29 2016

(MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(22/21)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // (* G. C. Greubel, May 21 2018 *)

CROSSREFS

Cf. A009965 (denominators).

Sequence in context: A222886 A264464 A268947 * A049663 A246645 A183539

Adjacent sequences:  A159758 A159759 A159760 * A159762 A159763 A159764

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 December 8 12:27 EST 2019. Contains 329862 sequences. (Running on oeis4.)