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

%I #6 Mar 30 2012 18:52:27

%S 6,9,12,8,9,15,18,15,23,7,23,15,36,8,9,19,11,34,38,19,24,11,42,24,18,

%T 48,53,15,10,72,9,11,10,21,68,11,16,29,90,7,68,36,15,20,81,21,28,83,8,

%U 77,45,6,37,18,85,12,126,7,29,48,34,102,10,22,28,80,26,105,11,16,9,105,123

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

%e a(8)=7+3+5=15.

%e a(9)=2+4+17=23.

%e a(10)=2+3+2=7.

%e a(11)=19+2+2=23.

%e a(12)=5+3+7=15.

%e a(13)=2+11+23=36,

%e etc.

%Y Cf. A141287, A141261, A136735.

%K nonn,less

%O 1,1

%A _Juri-Stepan Gerasimov_, Nov 13 2008

%E a(43) corrected by _R. J. Mathar_, Apr 14 2010