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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A160285 Numerator of Hermite(n, 23/29). 1
 1, 46, 434, -134780, -8389844, 520867016, 94518470776, -908740269776, -1154662527326320, -40886467186904864, 15598503848068208416, 1405241555094877399616, -223962406662593631730496, -38665666254514312493452160, 3118541336376613976720226176 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS G. C. Greubel, Table of n, a(n) for n = 0..371 FORMULA From G. C. Greubel, Oct 03 2018: (Start) a(n) = 29^n * Hermite(n, 23/29). E.g.f.: exp(46*x - 841*x^2). a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(46/29)^(n-2*k)/(k!*(n-2*k)!)). (End) EXAMPLE Numerators of 1, 46/29, 434/841, -134780/24389, -8389844/707281, ... MATHEMATICA Numerator[HermiteH[Range[0, 20], 23/29]] (* Harvey P. Dale, Sep 28 2015 *) Table[29^n*HermiteH[n, 23/29], {n, 0, 30}] (* G. C. Greubel, Oct 03 2018 *) PROG (PARI) a(n)=numerator(polhermite(n, 23/29)) \\ Charles R Greathouse IV, Jan 29 2016 (PARI) x='x+O('x^30); Vec(serlaplace(exp(46*x - 841*x^2))) \\ G. C. Greubel, Oct 03 2018 (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(46/29)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Oct 03 2018 CROSSREFS Cf. A009973 (denominators). Sequence in context: A272184 A213286 A135735 * A111304 A055751 A232071 Adjacent sequences: A160282 A160283 A160284 * A160286 A160287 A160288 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.

Last modified April 17 08:54 EDT 2024. Contains 371763 sequences. (Running on oeis4.)