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a(n) = A005843(n-1)/A090369(n-1) for n > 2 and a(n) = 0 for n <= 2.
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%I #5 Mar 30 2012 17:25:56

%S 0,0,1,2,2,2,4,2,4,6,5,2,8,2,7,10,8,2,12,2,10,14,11,2,16,10,13,18,14,

%T 2,20,2,16,22,17,14,24,2,19,26,20,2,28,2,22,30,23,2,32,14,25,34,26,2,

%U 36,22,28,38,29,2,40,2,31,42,32,26

%N a(n) = A005843(n-1)/A090369(n-1) for n > 2 and a(n) = 0 for n <= 2.

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

%C The decomposition of even numbers into weight * level + gap is A005843(n) = A090369(n-1) * a(n) + 2 if a(n) > 0.

%H Rémi Eismann, <a href="/A184727/b184727.txt">Table of n, a(n) for n = 1..10000</a>

%e For n = 3 we have A005843(2)/A090369(2)= 4 / 4 = 1; hence a(3) = 1.

%e For n = 24 we have A005843(23)/A090369(23)= 46 / 23 = 2; hence a(24) = 2.

%Y Cf. A005843, A090369, A117078, A117563, A001223.

%K nonn

%O 1,4

%A _Rémi Eismann_, Jan 20 2011