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.

A159535 Numerator of Hermite(n, 7/17).

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%I A159535 #11 Sep 08 2022 08:45:43
%S A159535 1,14,-382,-21532,360940,54835144,-275424584,-194024223568,
%T A159535 -1601971263088,874740412095200,20579820279916576,
%U A159535 -4767882097991423936,-197596846711589525312,30303674377706263065728,1908994147478771376114560,-218491414999696281462267136
%N A159535 Numerator of Hermite(n, 7/17).
%H A159535 G. C. Greubel, <a href="/A159535/b159535.txt">Table of n, a(n) for n = 0..404</a>
%F A159535 From _G. C. Greubel_, Jul 09 2018: (Start)
%F A159535 a(n) = 17^n * Hermite(n, 7/17).
%F A159535 E.g.f.: exp(14*x-289*x^2).
%F A159535 a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(14/17)^(n-2*k)/(k!*(n-2*k)!)). (End)
%t A159535 Numerator[Table[HermiteH[n,7/17],{n,0,50}]] (* _Vladimir Joseph Stephan Orlovsky_, Apr 29 2011 *)
%t A159535 Table[17^n*HermiteH[n, 7/17], {n,0,30}] (* _G. C. Greubel_, Jul 09 2018 *)
%o A159535 (PARI) a(n)=numerator(polhermite(n,7/17)) \\ _Charles R Greathouse IV_, Jan 29 2016
%o A159535 (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(14/17)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // _G. C. Greubel_, Jul 09 2018
%Y A159535 Cf. A159529, A159530.
%K A159535 sign,frac
%O A159535 0,2
%A A159535 _N. J. A. Sloane_, Nov 12 2009