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(0, 1, 2, 3, 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5, 11, 2^2*3, 13,..) becomes (0^1*2, 3^2*2, 5^2*3, 7^2*3, 3^2*2, 5^11*2, 2^3*13,..).
1

%I #3 Mar 30 2012 18:52:27

%S 0,18,75,147,18,97656250,104,384,100,867,1048576,96,539,1587,486,

%T 24576,18,6439811511626359453675214,7533,96,2057,156250,16,26011,

%U 3188646,9963,56,3698,2662,575,8836,4374,64,258280326,434176,24,97656250,6561,10469

%N (0, 1, 2, 3, 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5, 11, 2^2*3, 13,..) becomes (0^1*2, 3^2*2, 5^2*3, 7^2*3, 3^2*2, 5^11*2, 2^3*13,..).

%e 0^1*2=0*2=0=a(1).

%e 3^2*2=9*2=18=a(2).

%e 5^2*3=25*3=75=a(3).

%e 7^2*3=49*3=147=a(4).

%e 3^2*2=9*2=18=a(5).

%e 5^11*2=48828125*2=97656250=a(6).

%e 2^3*13 =8*13=104=a(7).

%e 2^7*3=128*3=384=a(8), etc.

%Y Cf. A141269, A141270.

%K nonn

%O 1,2

%A _Juri-Stepan Gerasimov_, Nov 01 2008

%E Extended by _R. J. Mathar_, Nov 06 2008