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a(n) = A184833(n)/A184832(n) unless A184832(n) = 0 in which case a(n) = 0.
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%I #5 Mar 30 2012 17:25:56

%S 0,0,0,2,1,1,3,3,6,1,1,5,1,10,7,5,1,14,1,1,16,11,11,18,1,1,20,1,10,15,

%T 1,7,17,1,28,19,19,30,1,32,13,13,34,23,23,36,1,38,11,19,27,27,42,17,

%U 17,29,1,46,31,31,3,50,1,1,52,35,35,54,1,1,56,1,28,39

%N a(n) = A184833(n)/A184832(n) unless A184832(n) = 0 in which case a(n) = 0.

%C a(n) is the "level" of squarefree numbers.

%C The decomposition of squarefree numbers into weight * level + gap is A005117(n) = A184832(n) * a(n) + A076259(n) if a(n) > 0.

%C A184833(n) = A005117(n) - A076259(n) if A005117(n) - A076259(n) > A076259(n), 0 otherwise.

%H Rémi Eismann, <a href="/A184834/b184834.txt">Table of n, a(n) for n = 1..10000</a>

%e For n = 1 we have A184832(1) = 0, hence a(1) = 0.

%e For n = 4 we have A184833(4)/A184832(4)= 4 / 2 = 1; hence a(4) = 2.

%e For n = 23 we have A184833(23)/A184832(23)= 33 / 3 = 11; hence a(23) = 11.

%Y Cf. A005117, A076259, A184832, A184833, A117078, A117563, A001223, A118534.

%K nonn

%O 1,4

%A _Rémi Eismann_, Jan 23 2011