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

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A160066 Numerator of Hermite(n, 22/25). 1
 1, 44, 686, -79816, -6084404, 131366224, 43807638856, 942289429664, -341856105084784, -24464562920370496, 2769440413707518176, 427662414707761999744, -19262659441336846931264, -7262493236035251261135616, -6531486463827292856927104, 126806246226208496184168487424 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS G. C. Greubel, Table of n, a(n) for n = 0..380 FORMULA From G. C. Greubel, Sep 23 2018: (Start) a(n) = 25^n * Hermite(n, 22/25). E.g.f.: exp(44*x - 625*x^2). a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(44/25)^(n-2*k)/(k!*(n-2*k)!)). (End) EXAMPLE Numerators of 1, 44/25, 686/625, -79816/15625, -6084404/390625, ... MATHEMATICA Table[25^n*HermiteH[n, 22/25], {n, 0, 30}] (* G. C. Greubel, Sep 23 2018 *) PROG (PARI) a(n)=numerator(polhermite(n, 22/25)) \\ Charles R Greathouse IV, Jan 29 2016 (PARI) x='x+O('x^30); Vec(serlaplace(exp(44*x - 625*x^2))) \\ G. C. Greubel, Sep 23 2018 (MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(44/25)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Sep 23 2018 CROSSREFS Cf. A009969 (denominators). Sequence in context: A252869 A296649 A221505 * A120812 A282860 A232139 Adjacent sequences:  A160063 A160064 A160065 * A160067 A160068 A160069 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.

Last modified January 16 06:48 EST 2021. Contains 340204 sequences. (Running on oeis4.)