This site is supported by donations to The OEIS Foundation.

 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!)
 A159528 Numerator of Hermite(n, 15/16). 1
 1, 15, 97, -2385, -73023, 125775, 48621345, 632724975, -34073850495, -1159018131825, 21867803792865, 1811560265628975, -3616463755919295, -2836803524344895025, -36534257175323718495, 4535538057996196107375, 138178844646564481121025 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS G. C. Greubel, Table of n, a(n) for n = 0..450 FORMULA From G. C. Greubel, Jun 09 2018: (Start) a(n) = 8^n * Hermite(n, 15/16). E.g.f.: exp(15*x-64*x^2). a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(15/8)^(n-2*k)/(k!*(n-2*k)!)). (End) MATHEMATICA Numerator[Table[HermiteH[n, 15/16], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 29 2011 *) PROG (PARI) a(n)=numerator(polhermite(n, 15/16)) \\ Charles R Greathouse IV, Jan 29 2016 (MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(15/8)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 09 2018 CROSSREFS Cf. A159521. Sequence in context: A283168 A232296 A278203 * A108681 A108254 A174383 Adjacent sequences:  A159525 A159526 A159527 * A159529 A159530 A159531 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 December 5 10:45 EST 2019. Contains 329751 sequences. (Running on oeis4.)