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.

A041138 Numerators of continued fraction convergents to sqrt(78).

This page as a plain text file.
%I A041138 #14 Jul 09 2025 00:19:45
%S A041138 8,9,44,53,892,945,4672,5617,94544,100161,495188,595349,10020772,
%T A041138 10616121,52485256,63101377,1062107288,1125208665,5562941948,
%U A041138 6688150613,112573351756,119261502369,589619361232,708880863601,11931713178848,12640594042449,62494089348644
%N A041138 Numerators of continued fraction convergents to sqrt(78).
%H A041138 Vincenzo Librandi, <a href="/A041138/b041138.txt">Table of n, a(n) for n = 0..200</a>
%H A041138 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,106,0,0,0,-1).
%F A041138 G.f.: -(x^7-8*x^6+9*x^5-44*x^4-53*x^3-44*x^2-9*x-8) / (x^8-106*x^4+1). - _Colin Barker_, Nov 05 2013
%t A041138 Numerator[Convergents[Sqrt[78], 30]] (* _Vincenzo Librandi_, Oct 29 2013 *)
%Y A041138 Cf. A010530, A041139.
%K A041138 nonn,cofr,frac,easy
%O A041138 0,1
%A A041138 _N. J. A. Sloane_
%E A041138 More terms from _Colin Barker_, Nov 05 2013