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.

A159526 Numerator of Hermite(n, 11/16).

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%I A159526 #17 Sep 08 2022 08:45:43
%S A159526 1,11,-7,-2893,-29135,1160731,31414441,-545882557,-34152047263,
%T A159526 183311218475,41359581850201,220317040704211,-55810803797336687,
%U A159526 -952325816292371653,82393593539552158985,2612897391731003751011,-129453828286899103990079
%N A159526 Numerator of Hermite(n, 11/16).
%H A159526 G. C. Greubel, <a href="/A159526/b159526.txt">Table of n, a(n) for n = 0..450</a>
%F A159526 From _G. C. Greubel_, Jun 09 2018: (Start)
%F A159526 a(n) = 8^n * Hermite(n, 11/16).
%F A159526 E.g.f.: exp(11*x-64*x^2).
%F A159526 a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(11/8)^(n-2*k)/(k!*(n-2*k)!)). (End)
%t A159526 Numerator[Table[HermiteH[n,11/16],{n,0,50}]] (* _Vladimir Joseph Stephan Orlovsky_, Apr 29 2011 *)
%o A159526 (PARI) a(n)=numerator(polhermite(n,11/16)) \\ _Charles R Greathouse IV_, Jan 29 2016
%o A159526 (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(11/8)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // _G. C. Greubel_, Jun 09 2018
%Y A159526 Cf. A159521.
%K A159526 sign,frac
%O A159526 0,2
%A A159526 _N. J. A. Sloane_, Nov 12 2009