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.

A159515 Numerator of Hermite(n, 4/15).

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%I A159515 #12 Sep 08 2022 08:45:43
%S A159515 1,8,-386,-10288,438796,22028768,-811060856,-65966160448,
%T A159515 2027112412816,253695076915328,-6180244656582176,-1191069803371633408,
%U A159515 21063652623108703936,6600286159191690034688,-70420078571652397748096,-42145163431480866400519168,138174222906806753595494656
%N A159515 Numerator of Hermite(n, 4/15).
%H A159515 G. C. Greubel, <a href="/A159515/b159515.txt">Table of n, a(n) for n = 0..412</a>
%F A159515 From _G. C. Greubel_, Jun 11 2018: (Start)
%F A159515 a(n) = 15^n * Hermite(n,4/15).
%F A159515 E.g.f.: exp(8*x-225*x^2).
%F A159515 a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(8/15)^(n-2*k)/(k!*(n-2*k)!)). (End)
%t A159515 Numerator[Table[HermiteH[n,4/15],{n,0,50}]] (* _Vladimir Joseph Stephan Orlovsky_, Apr 28 2011 *)
%o A159515 (PARI) a(n)=numerator(polhermite(n,4/15)) \\ _Charles R Greathouse IV_, Jan 29 2016
%o A159515 (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(8/15)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // _G. C. Greubel_, Jun 11 2018
%Y A159515 Cf. A159513, A159514.
%K A159515 sign,frac
%O A159515 0,2
%A A159515 _N. J. A. Sloane_, Nov 12 2009