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.

A114427 Decimal expansion of the real solution of x^3-x^2-x-4=0.

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%I A114427 #15 Feb 15 2014 12:28:30
%S A114427 2,2,4,1,8,9,6,5,6,3,0,3,4,4,7,9,8,5,5,7,8,9,4,9,2,5,0,2,6,6,9,4,9,8,
%T A114427 5,0,3,2,4,5,6,7,6,8,4,3,1,6,6,4,9,5,6,6,2,3,5,8,8,6,5,0,1,4,0,4,2,3,
%U A114427 9,2,2,7,4,5,7,7,4,5,6,8,8,7,7,0,5,9,0,4,6,8,4,5,0,7,4,7,8,1,4,5,6,9,5,6,1
%N A114427 Decimal expansion of the real solution of x^3-x^2-x-4=0.
%C A114427 The solution of the equation is twice the value of a lower bound on randomly generated Fibonacci-like sequences.
%H A114427 Eran Makover and Jeffrey McGowan, <a href="http://dx.doi.org/10.1016/j.jnt.2006.01.002">An elementary proof that random Fibonacci sequences grow exponentially</a>, Journal of Number Theory, Volume 121, Issue 1, November 2006, Pages 40-44. (arXiv:math/0510159 [math.NT])
%e A114427 The solution of the equation is 2.2418965630344798557894...
%t A114427 RealDigits[1/3 (1+(1/2 (119-3 Sqrt[1545]))^(1/3)+(1/2 (119+3 Sqrt[ 1545]))^(1/3)),10,120][[1]] (* _Harvey P. Dale_, Jun 09 2011 *)
%Y A114427 Cf. A114431.
%K A114427 cons,nonn
%O A114427 1,1
%A A114427 _Stefan Steinerberger_, Feb 13 2006