Search: id:A004539
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%I A004539
%S A004539 1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,
%T A004539 1,1,1,1,0,0,1,1,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,
%U A004539 0,1,1,0,0,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1
%N A004539 Expansion of sqrt(2) in base 2.
%D A004539 R. L. Graham and H. O. Pollak, Note on a nonlinear recurrence related 
               to sqrt(2), Mathematics Magazine, Volume 43, Pages 143-145, 1970. 
               Zbl 201.04705.
%H A004539 T. D. Noe, <a href="b004539.txt">Table of n, a(n) for n=1..1000</a>
%H A004539 D. Bailey et al., <a href="http://crd.lbl.gov/~dhbailey/dhbpapers/algebraic.pdf">
               On the binary expansions of algebraic numbers</a>
%H A004539 Richard Isaac, <a href="http://arXiv.org/abs/math/0512404">On the simple 
               normality to base 2 of the square root of s, for s not a perfect 
               square.</a>
%H A004539 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               WolframsIteration.html">Wolfram's Iteration</a>
%H A004539 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PythagorassConstant.html">Pythagoras's Constant</a>
%t A004539 N[Sqrt[2], 200]; RealDigits[%, 2]
%o A004539 (bc) obase=2 scale=200 sqrt(2)
%Y A004539 Sequence in context: A102511 A129360 A129372 this_sequence A023960 A129686 
               A104974
%Y A004539 Adjacent sequences: A004536 A004537 A004538 this_sequence A004540 A004541 
               A004542
%K A004539 nonn,base,cons
%O A004539 1,1
%A A004539 N. J. A. Sloane (njas(AT)research.att.com).

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