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A116937 Expansion of Pi^2 in base 2. 0
1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

One expects Pi^2 to be equidistributed, base 2, with an equal asymptotic density of 0 and 1 in this sequence; equal density of 00, 01, 10, 11. The first 100 decimal places here have, as binary, a run of 7 zeros and a run of 9 ones.

LINKS

Table of n, a(n) for n=1..105.

FORMULA

Pi^2 (base 2).

EXAMPLE

1001.1101111 (base 2) ~ 9.8696 (base 10) ~ Pi^2. 100 decimal places precision here.

See also: A000796 Decimal expansion of Pi.

See also: A004601 Expansion of Pi in base 2.

MATHEMATICA

RealDigits[Pi^2, 2, 100][[1]] (* Stefan Steinerberger, Mar 30 2006 *)

CROSSREFS

Cf. A000796. Pi in various bases: A004601 to A004608, A000796, A068436 to A068440, A062964. Cf. A007514.

Sequence in context: A267292 A267178 A285277 * A267810 A267927 A030300

Adjacent sequences:  A116934 A116935 A116936 * A116938 A116939 A116940

KEYWORD

base,cons,nonn

AUTHOR

Jonathan Vos Post, Mar 21 2006

EXTENSIONS

Mathematica program modified by Harvey P. Dale, Apr 02 2019

STATUS

approved

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Last modified August 24 05:52 EDT 2019. Contains 326260 sequences. (Running on oeis4.)