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%I #11 Mar 23 2024 17:32:30
%S 1,0,2,0,1,0,2,0,1,0,2,0,1,0,1,2,0,1,0,2,0,1,2,0,2,0,1,0,2,0,1,0,1,2,
%T 0,1,0,1,2,0,1,0,2,0,1,2,0,2,0,1,0,2,0,1,2,0,2,0,1,0,1,2,0,1,0,1,2,0,
%U 1,2,0,2,0,1,0,2,0,1,0,2,0,1,0,1,2,0,1,2,0,1,2,0,1,2,0,2,0,1,0,1,2,0,1,0,2
%N Composite numbers (modulo 3).
%C If the terms of this sequence are interpreted as the base-3 expansion of a real number, its value is 0.4124999703972179190135867434954940067125524729635148630103267345... and its continued fraction expansion is 0, 2, 2, 2, 1, 4, 5278, 131, 4, 2, 2, 2, 2, 1, 24, 12, 1, 1, 7, 552, 1, 2, 1, ... with increasing partial quotients 2, 4, 5278, 66292, 274715, 420778, 625399, ...
%F a(n) == A002808(n) (mod 3).
%t Composite[n_] := FixedPoint[n + PrimePi[ # ] + 1 &, n]; Table[ Mod[Composite[n], 3], {n, 105}]
%Y Cf. A002808, A073867.
%K nonn
%O 1,3
%A _Robert G. Wilson v_, Nov 11 2005
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