A004539 - OEIS

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A004539

Expansion of sqrt(2) in base 2.

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; constant; graph; refs; listen; history; text; internal format)

	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.` `Jason Kimberley, Index of expansions of sqrt(d) in base b` `Thomas Stoll, A fancy way to obtain the binary digits of 759250125 sqrt{2}, (2009), Amer. Math. Monthly, 117 (2010), 611-617.` `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]`
	PROG	`(bc) obase=2 scale=200 sqrt(2)`
	CROSSREFS	`Sequence in context: A129360 A129372 A169591 * A023960 A129686 A104974` `Adjacent sequences: A004536 A004537 A004538 * A004540 A004541 A004542`
	KEYWORD	`nonn,base,cons`
	AUTHOR	`N. J. A. Sloane.`
	STATUS	`approved`

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Last modified December 13 06:23 EST 2013. Contains 233294 sequences.