%I
%S 1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,
%T 1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,
%U 0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0
%N Let S(1)=1, S(2)=10; S(2n)=concatenation of S(2n1), S(2n2) and 0; and S(2n+1)=concatenation of S(2n), S(2n) and 0. Sequence gives S(infinity).
%C Number of terms in S(n) is A062318(n).
%C Interpreting S(n) in binary and converting to decimal gives 1,2,20,164,84296,43159880,5792821120672400,...,.
%e S(3) = {1,0,1,0,0}, S(4) = {1,0,1,0,0,1,0,0}, S(5) = {1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0}, ...
%t a[1] = {1}; a[2] = {1, 0}; a[n_] := a[n] = If[EvenQ[n], Join[a[n  1], a[n  2], {0}] // Flatten, Join[a[n  1], a[n  1], {0}] // Flatten]; a[8] (* _Robert G. Wilson v_ *)
%Y Cf. A114483, A062318, A112361.
%K easy,nonn
%O 1,1
%A _Leroy Quet_, Nov 30 2005
%E More terms from _Robert G. Wilson v_, Jan 01 2006
%E Edited by _N. J. A. Sloane_, Jan 03 2006
