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

 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!)
 A159542 Numerator of Hermite(n, 14/17). 4
 1, 28, 206, -26600, -1102004, 30643088, 4042798024, 6928115488, -16163173571440, -484604466016832, 70511903870159584, 4775347121941757312, -314604965392105430336, -41930746668766980765440, 1189880803230804742112384, 372620264534124941133087232 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS G. C. Greubel, Table of n, a(n) for n = 0..404 FORMULA From G. C. Greubel, Jul 02 2018: (Start) a(n) = 17^n * Hermite(n, 14/17). E.g.f.: exp(28*x-289*x^2). a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(28/17)^(n-2*k)/(k!*(n-2*k)!)). (End) MATHEMATICA Numerator[Table[HermiteH[n, 14/17], {n, 0, 30}]] (* Vladimir Joseph Stephan Orlovsky, May 08 2011 *) Table[17^n*HermiteH[n, 14/17], {n, 0, 50}] (* G. C. Greubel, Jul 02 2018 *) PROG (PARI) a(n)=numerator(polhermite(n, 14/17)) \\ Charles R Greathouse IV, Jan 29 2016 (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(28/17)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jul 02 2018 CROSSREFS Cf. A159540, A159541. Sequence in context: A246902 A236372 A346376 * A244944 A155466 A053135 Adjacent sequences: A159539 A159540 A159541 * A159543 A159544 A159545 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 December 3 23:46 EST 2022. Contains 358544 sequences. (Running on oeis4.)