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.

A041203 Denominators of continued fraction convergents to sqrt(112).

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%I A041203 #15 Jul 09 2025 00:25:51
%S A041203 1,1,2,5,7,12,247,259,506,1271,1777,3048,62737,65785,128522,322829,
%T A041203 451351,774180,15934951,16709131,32644082,81997295,114641377,
%U A041203 196638672,4047414817,4244053489,8291468306,20826990101
%N A041203 Denominators of continued fraction convergents to sqrt(112).
%H A041203 Vincenzo Librandi, <a href="/A041203/b041203.txt">Table of n, a(n) for n = 0..200</a>
%H A041203 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,254,0,0,0,0,0,-1).
%F A041203 a(n) = 254*a(n-6)-a(n-12). G.f.: -(x^4-x^3+2*x^2+x+1)*(x^6-6*x^3-1)/((x^6-16*x^3+1)*(x^6+16*x^3+1)). [_Colin Barker_, Jul 19 2012]
%t A041203 Denominator[Convergents[Sqrt[112], 30]] (* _Vincenzo Librandi_, Oct 24 2013 *)
%Y A041203 Cf. A041202.
%K A041203 nonn,cofr,frac,easy
%O A041203 0,3
%A A041203 _N. J. A. Sloane_