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

 Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS"). Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A160063 Numerator of Hermite(n, 18/25). 1
 1, 36, 46, -88344, -3352884, 321016176, 32512107336, -1237185455904, -329019615602544, 527148397348416, 3720448017833162976, 127346773675138667136, -46571676392900998903104, -3586781955271515967551744, 627665590994866657343577216, 85364645493066729096524299776 (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, 18/25). E.g.f.: exp(36*x - 625*x^2). a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(36/25)^(n-2*k)/(k!*(n-2*k)!)). (End) EXAMPLE Numerators of 1, 36/25, 46/625, -88344/15625, -3352884/390625, ... MATHEMATICA Numerator[HermiteH[Range[0, 20], 18/25]] (* Harvey P. Dale, Mar 18 2015 *) Table[25^n*HermiteH[n, 18/25], {n, 0, 30}] (* G. C. Greubel, Sep 23 2018 *) PROG (PARI) a(n)=numerator(polhermite(n, 18/25)) \\ Charles R Greathouse IV, Jan 29 2016 (PARI) x='x+O('x^30); Vec(serlaplace(exp(36*x - 625*x^2))) \\ G. C. Greubel, Sep 23 2018 (MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(36/25)^(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: A188630 A167310 A083674 * A260927 A291713 A287840 Adjacent sequences:  A160060 A160061 A160062 * A160064 A160065 A160066 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 November 26 16:27 EST 2020. Contains 338641 sequences. (Running on oeis4.)