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.

A159500 Numerator of Hermite(n, 7/13).

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%I A159500 #12 Sep 08 2022 08:45:43
%S A159500 1,14,-142,-11452,-16340,15254344,241175416,-27559353808,
%T A159500 -956451987568,61130164870880,3765349254374176,-153905067702335936,
%U A159500 -16154239475595889472,398079601942332103808,76554842682960987793280,-811944878829661686113536,-399500280706227471717519104
%N A159500 Numerator of Hermite(n, 7/13).
%H A159500 G. C. Greubel, <a href="/A159500/b159500.txt">Table of n, a(n) for n = 0..422</a>
%F A159500 From _G. C. Greubel_, Jun 12 2018: (Start)
%F A159500 a(n) = 13^n * Hermite(n,7/13).
%F A159500 E.g.f.: exp(14*x-169*x^2).
%F A159500 a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(14/31)^(n-2*k)/(k!*(n-2*k)!)). (End)
%t A159500 Numerator[Table[HermiteH[n,7/13],{n,0,50}]] (* _Vladimir Joseph Stephan Orlovsky_, Apr 14 2011 *)
%o A159500 (PARI) a(n)=numerator(polhermite(n,7/13)) \\ _Charles R Greathouse IV_, Jan 29 2016
%o A159500 (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(14/13)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // _G. C. Greubel_, Jun 12 2018
%Y A159500 Cf. A159280, A159488.
%K A159500 sign,frac
%O A159500 0,2
%A A159500 _N. J. A. Sloane_, Nov 12 2009