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(1=1, 2=2, 3=3, 4=2^2, 5=5, 6=2*3, 7=7, 8=2^3, 9=3^2, 10=2*5, 11=11, 12=2^2*3, 13=13, ..) becomes (1+1+2, 2+3+3, 4+2+2, 5+5+6, 2+3+7, 7+8+2, 3+9+3, 2+10+2, 5+11+11, 12+2+2, 3+13+13, ..).
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%I #4 Mar 30 2012 18:52:27

%S 4,8,8,16,12,17,15,14,27,16,29,23,23,22,52,7,58,9,31,35,70,8,32,41,33,

%T 32,65,35,67,39,47,53,47,40,42,77,61,55,49,85,53,89,58,10,71,142,9,58,

%U 57,56,71,68,109,61,72,12,79,89,178,7,127,95,68,73,76,81,81,137,88,96

%N (1=1, 2=2, 3=3, 4=2^2, 5=5, 6=2*3, 7=7, 8=2^3, 9=3^2, 10=2*5, 11=11, 12=2^2*3, 13=13, ..) becomes (1+1+2, 2+3+3, 4+2+2, 5+5+6, 2+3+7, 7+8+2, 3+9+3, 2+10+2, 5+11+11, 12+2+2, 3+13+13, ..).

%e 3+13+13=29=a(11).

%e 14+2+7=23=a(12).

%e 15=3+5=23=a(13).

%e 16+2+4=22=a(14).

%e 17+17+18=52=a(15).

%e 2+3+2=7=a(16).

%e 19+19+20=58=a(17),

%e etc.

%Y Cf. A143710, A143711.

%K nonn

%O 1,1

%A _Juri-Stepan Gerasimov_, Nov 17 2008

%E a(1) and all terms from a(13) on corrected by _R. J. Mathar_, Apr 29 2010