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A004539
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Expansion of sqrt(2) in base 2.
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6
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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, 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, 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
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OFFSET
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1,1
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REFERENCES
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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.
Thomas Stoll, A fancy way to obtain the binary digits of 759250125 sqrt{2}, (2009), http://arxiv.org/abs/0902.4168, Amer. Math. Monthly, 117 (2010), 611-617.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..1000
D. Bailey et al., On the binary expansions of algebraic numbers
Richard Isaac, On the simple normality to base 2 of the square root of s, for s not a perfect square.
Jason Kimberley, Index of expansions of sqrt(d) in base b
Eric Weisstein's World of Mathematics, Wolfram's Iteration
Eric Weisstein's World of Mathematics, Pythagoras's Constant
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MATHEMATICA
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N[Sqrt[2], 200]; RealDigits[%, 2]
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PROG
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(bc) obase=2 scale=200 sqrt(2)
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CROSSREFS
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Sequence in context: A129360 A129372 A169591 * A023960 A129686 A104974
Adjacent sequences: A004536 A004537 A004538 * A004540 A004541 A004542
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KEYWORD
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nonn,base,cons
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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