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.

A159536 Numerator of Hermite(n, 8/17).

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%I A159536 #13 Sep 08 2022 08:45:43
%S A159536 1,16,-322,-23648,179980,57553856,400719496,-193185260672,
%T A159536 -4712275251568,817892241322240,37599531719812576,
%U A159536 -4125824647325545984,-305071017031777093952,23735583481341553441792,2672072957678237939024000,-149315174208164043426596864
%N A159536 Numerator of Hermite(n, 8/17).
%H A159536 G. C. Greubel, <a href="/A159536/b159536.txt">Table of n, a(n) for n = 0..404</a>
%F A159536 From _G. C. Greubel_, Jul 09 2018: (Start)
%F A159536 a(n) = 17^n * Hermite(n, 8/17).
%F A159536 E.g.f.: exp(16*x-289*x^2).
%F A159536 a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(16/17)^(n-2*k)/(k!*(n-2*k)!)). (End)
%t A159536 Numerator[Table[HermiteH[n,8/17],{n,0,50}]] (* _Vladimir Joseph Stephan Orlovsky_, Apr 29 2011 *)
%t A159536 Table[17^n*HermiteH[n, 8/17], {n,0,30}] (* _G. C. Greubel_, Jul 09 2018 *)
%o A159536 (PARI) a(n)=numerator(polhermite(n,8/17)) \\ _Charles R Greathouse IV_, Jan 29 2016
%o A159536 (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(16/17)^(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 A159536 Cf. A159529, A159530.
%K A159536 sign,frac
%O A159536 0,2
%A A159536 _N. J. A. Sloane_, Nov 12 2009