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%I #11 May 24 2021 15:06:55
%S 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,
%T 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,
%U 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
%N Expansion of Pi^2 in base 2.
%C 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.
%F Pi^2 (base 2).
%e 1001.1101111 (base 2) ~ 9.8696 (base 10) ~ Pi^2. 100 decimal places precision here.
%e See also: A000796 Decimal expansion of Pi.
%e See also: A004601 Expansion of Pi in base 2.
%t RealDigits[Pi^2, 2, 100][[1]] (* _Stefan Steinerberger_, Mar 30 2006 *)
%Y Cf. A000796. Pi in various bases: A004601 to A004608, A000796, A068436 to A068440, A062964. Cf. A007514.
%K base,cons,nonn
%O 1,1
%A _Jonathan Vos Post_, Mar 21 2006
%E Mathematica program modified by _Harvey P. Dale_, Apr 02 2019