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A184753 a(n) = A184752(n)/A130650(n) unless A130650(n) = 0 in which case a(n) = 0. 3

%I #5 Mar 30 2012 17:25:56

%S 0,0,4,1,13,2,1,10,1,5,16,1,15,16,22,5,37,2,4,2,1,24,11,10,2,28,23,11,

%T 41,20,2,3,73,13,76,12,1,20,13,85,34,1,21,2,46,62,5,3,2,2,2,1,2,78,39,

%U 80,81,122,3,63,51,32,88,1,1,1,69,70

%N a(n) = A184752(n)/A130650(n) unless A130650(n) = 0 in which case a(n) = 0.

%C a(n) is the "level" of 3-almost primes.

%C The decomposition of 3-almost primes into weight * level + gap is A014612(n) = A130650(n) * a(n) + A114403(n) if a(n) > 0.

%C a(n) = A014612(n) - A114403(n) if A014612(n) - A114403(n) > A114403(n), 0 otherwise.

%H Rémi Eismann, <a href="/A184753/b184753.txt">Table of n, a(n) for n = 1..10000</a>

%e For n = 1 we have A130650(1) = 0, hence a(1) = 0.

%e For n = 3 we have A184752(3)/A130650(3)= 16 / 4 = 4; hence a(3) = 4.

%e For n = 21 we have A184752(21)/A130650(21)= 97 / 97 = 28; hence a(21) = 1.

%Y Cf. A014612, A114403, A130650, A184752, A117078, A117563, A001223, A118534.

%K nonn

%O 1,3

%A _Rémi Eismann_, Jan 21 2011

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