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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 0's and a run of 9 1's.
LINKS
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
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 June 12 15:39 EDT 2024. Contains 373331 sequences. (Running on oeis4.)