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A004539 Expansion of sqrt(2) in base 2. +0
6
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 (list; cons; graph; listen)
OFFSET

1,1

REFERENCES

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.

LINKS

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.

Eric Weisstein's World of Mathematics, Wolfram's Iteration

Eric Weisstein's World of Mathematics, Pythagoras's Constant

MATHEMATICA

N[Sqrt[2], 200]; RealDigits[%, 2]

PROGRAM

(bc) obase=2 scale=200 sqrt(2)

CROSSREFS

Sequence in context: A102511 A129360 A129372 this_sequence A023960 A129686 A104974

Adjacent sequences: A004536 A004537 A004538 this_sequence A004540 A004541 A004542

KEYWORD

nonn,base,cons

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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