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!)
 A159449 Numerator of Hermite(n, 6/11). 1
 1, 12, -98, -6984, -12660, 6608592, 94621704, -8460215136, -261811748208, 13237235524800, 729072813894624, -23285236203280512, -2220214665026855232, 40977749954004344064, 7476528335622538688640, -49114276816696253425152, -27729169180110170480865024 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS G. C. Greubel, Table of n, a(n) for n = 0..435 FORMULA From G. C. Greubel, Jun 15 2018: (Start) a(n) = 11^n * Hermite(n,6/11). E.g.f.: exp(12*x-121*x^2). a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(12/11)^(n-2*k)/(k!*(n-2*k)!)). (End) MATHEMATICA Numerator[Table[HermiteH[n, 6/11], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 12 2011 *) PROG (PARI) a(n)=numerator(polhermite(n, 6/11)) \\ Charles R Greathouse IV, Jan 29 2016 (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(12/11)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 15 2018 CROSSREFS Cf. A159280. Sequence in context: A041268 A216028 A238755 * A282285 A090230 A133652 Adjacent sequences: A159446 A159447 A159448 * A159450 A159451 A159452 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 November 30 11:57 EST 2022. Contains 358441 sequences. (Running on oeis4.)