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.
%I A159510 #14 Sep 08 2022 08:45:43 %S A159510 1,9,-17,-1917,-12255,641169,11775471,-271028133,-10517226303, %T A159510 117831019545,10336672775151,-22444344177741,-11344932349212447, %U A159510 -75709842389888607,13772055231387660015,227822400841416108939,-18194519582567115241599 %N A159510 Numerator of Hermite(n, 9/14). %H A159510 G. C. Greubel, <a href="/A159510/b159510.txt">Table of n, a(n) for n = 0..450</a> %F A159510 From _G. C. Greubel_, Jun 11 2018: (Start) %F A159510 a(n) = 7^n * Hermite(n,9/14). %F A159510 E.g.f.: exp(9*x-49*x^2). %F A159510 a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(9/7)^(n-2*k)/(k!*(n-2*k)!)). (End) %t A159510 Numerator[Table[HermiteH[n,9/14],{n,0,50}]] (* _Vladimir Joseph Stephan Orlovsky_, Apr 28 2011 *) %t A159510 With[{nn=20},CoefficientList[Series[Exp[9x-49x^2],{x,0,nn}],x] Range[ 0,nn]!] (* _Harvey P. Dale_, Aug 11 2021 *) %o A159510 (PARI) a(n)=numerator(polhermite(n,9/14)) \\ _Charles R Greathouse IV_, Jan 29 2016 %o A159510 (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(9/7)^(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 A159510 Cf. A159507, A159508, A159509. %K A159510 sign,frac %O A159510 0,2 %A A159510 _N. J. A. Sloane_, Nov 12 2009