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%I #6 Mar 30 2012 17:25:56
%S 0,0,1,1,1,3,1,1,3,2,5,5,3,7,1,5,9,15,3,3,13,3,15,9,1,19,2,1,9,23,1,
%T 11,1,11,9,3,33,11,35,21,7,13,41,63,25,5,45,3,49,5,1,3,55,33,1,59,9,
%U 63,27,65,11,1,3,75,45,1,79,1,5,41,85,1,1,89,5,39,93,1,57,9
%N a(n) = A184830(n)/A184829(n) unless A184829(n) = 0 in which case a(n) = 0.
%C a(n) is the "level" of prime powers.
%C The decomposition of prime powers into weight * level + gap is A000961(n) = A184829(n) * a(n) + A057820(n) if a(n) > 0.
%C A184830(n) = A000961(n) - A057820(n) if A000961(n) - A057820(n) > A057820(n), 0 otherwise.
%H Rémi Eismann, <a href="/A184831/b184831.txt">Table of n, a(n) for n = 1..10000</a>
%e For n = 1 we have A184829(1) = 0, hence a(1) = 0.
%e For n = 3 we have A184830(3)/A184829(3)= 2 / 2 = 1; hence a(3) = 1.
%e For n = 24 we have A184830(24)/A184829(24)= 45 / 5 = 9; hence a(24) = 9.
%Y Cf. A000961, A057820, A184829, A184830, A117078, A117563, A001223, A118534.
%K nonn
%O 1,6
%A _Rémi Eismann_, Jan 23 2011
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