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(0, 1, 2^2, 2*3, 2^3, 3^2, 2*5, 2^2*3, 2*7, 3*5, 2^4, 2*3^2,..) becomes (0 mod 1, 2 mod 2, 2 mod 3, 2 mod 3, 3 mod 2, 2 mod 5, 2 mod 2, 3 mod 2, 7 mod 3, 5 mod 2, 4 mod 2, 3 mod 2,..).
0

%I #4 Mar 30 2012 18:52:27

%S 0,0,2,2,1,2,0,1,1,1,0,1,0,2,1,1,0,1,2,0,0,1,3,2,3,2,5,0,1,2,3,2,1,3,

%T 0,2,2,2,2,3,0,1,3,0,1,0,5,2,1,1,1,2,1,1,2,2,5,2,1,2,3,2,1,0,0,1,1,0,

%U 5,1,3,2,2,0,1,2,2,1,1,1,3,2,2,7,0,2,1,2,1,2,2,2,2,0,1,2,1,3,3,1,1,2,1,5,3

%N (0, 1, 2^2, 2*3, 2^3, 3^2, 2*5, 2^2*3, 2*7, 3*5, 2^4, 2*3^2,..) becomes (0 mod 1, 2 mod 2, 2 mod 3, 2 mod 3, 3 mod 2, 2 mod 5, 2 mod 2, 3 mod 2, 7 mod 3, 5 mod 2, 4 mod 2, 3 mod 2,..).

%e 3 mod 2=1=a(12).

%e 2 mod 2=0=a(13).

%e 5 mod 3=2=a(14).

%e 5 mod 2=1=a(15).

%e 7 mod 2=1=a(16).

%e 11 mod 2=1=a(17).

%e 3 mod 3=0=a(18).

%e 5 mod 2=1=a(19).

%e 2 mod 13=2=a(20).

%e 3 mod 3=0=a(21).

%e 2 mod 2=0=a(22).

%e 7 mod 2=1=a(23), etc.

%Y Cf. A141468.

%K nonn

%O 1,3

%A _Juri-Stepan Gerasimov_, Nov 20 2008

%E First corrected removal of a 1 near a(15). Other corrections following a(45) - _R. J. Mathar_, Apr 29 2010