A116937 Expansion of Pi^2 in base 2.

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

Offset: 1

Author

Jonathan Vos Post, Mar 21 2006

Keywords

• base
• cons
• nonn

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.

Examples

			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.
		

Crossrefs

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

Programs

Mathematica

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

Formula

Pi^2 (base 2).

Extensions

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