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.

A188931 Continued fraction of sqrt(5)+sqrt(6).

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%I A188931 #10 Jul 08 2024 10:40:09
%S A188931 4,1,2,5,1,1,4,1,2,24,1,2,4,2,1,3,8,3,1,2,1,1,1,40,3,1,3,1,3,3,5,14,1,
%T A188931 5,3,6,1,9,3,1,1,10,1,2,2,1,1,23,6,4,1,1,4,1,3,21,1,3,4,1,2,1,1,1,1,4,
%U A188931 54,8,2,3,1,6,1,6,3,2,32,1,1,4,2,1,1,2,1,1,6,1,4,2,2,1,1,1,3,14,1,11,2,3,6,32,1,1,1,8,1,1,1,3,1,2,1,10,1,4,4,1,2,1
%N A188931 Continued fraction of sqrt(5)+sqrt(6).
%C A188931 For a geometric interpretation, see A188640 and A188930.
%e A188931 sqrt(5)+sqrt(6)=[4,1,2,5,1,1,4,1,2,24,...].
%t A188931 r = 20^(1/2); t = (r + (4 + r^2)^(1/2))/2; FullSimplify[t]
%t A188931 N[t, 130]
%t A188931 RealDigits[N[t, 130]][[1]]
%t A188931 ContinuedFraction[t, 120]
%t A188931 ContinuedFraction[Sqrt[5]+Sqrt[6],120] (* _Harvey P. Dale_, Jun 26 2021 *)
%Y A188931 Cf. A188930 (decimal expansion).
%K A188931 nonn,cofr
%O A188931 0,1
%A A188931 _Clark Kimberling_, Apr 13 2011
%E A188931 Offset changed by _Andrew Howroyd_, Jul 08 2024