cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A159245 Numerator of Hermite(n, 8/9).

This page as a plain text file.
%I A159245 #11 Jun 07 2018 22:01:15
%S A159245 1,16,94,-3680,-104564,711616,96082696,845632384,-95427659120,
%T A159245 -2622782115584,97169013147616,5803611237607936,-80297401627324736,
%U A159245 -12566978671947023360,-31965330924006479744,27990462333191745304576,525523151476403670651136
%N A159245 Numerator of Hermite(n, 8/9).
%C A159245 Denominators are A001019. - _Robert Israel_, Jun 07 2018
%H A159245 Robert Israel, <a href="/A159245/b159245.txt">Table of n, a(n) for n = 0..450</a>
%F A159245 From _Robert Israel_, Jun 07 2018: (Start)
%F A159245 E.g.f.: exp(16*x-81*x^2).
%F A159245 a(n+2)=16*a(n+1)-162*(n+1)*a(n). (End)
%p A159245 f:= gfun:-rectoproc({-162*(x+1)*a(x) + 16*a(x+1)-a(x+2)=0,a(0)=1,a(1)=16},a(x),remember):
%p A159245 map(f, [$0..50]); # _Robert Israel_, Jun 07 2018
%t A159245 Numerator[Table[HermiteH[n,8/9],{n,0,50}]] (* _Vladimir Joseph Stephan Orlovsky_, Apr 02 2011*)
%o A159245 (PARI) a(n)=numerator(polhermite(n,8/9)) \\ _Charles R Greathouse IV_, Jan 29 2016
%Y A159245 Cf. A001019, A159030, A159197.
%K A159245 sign,frac
%O A159245 0,2
%A A159245 _N. J. A. Sloane_, Nov 12 2009