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a(n) = floor(A066206(n)/A066205(n)).
0

%I #8 May 09 2025 00:50:54

%S 1,2,2,2,3,4,4,4,5,5,5,6,6,6,7,7,7,7,7,8,8,8,8,8,8,9,9,9,9,9,10,10,10,

%T 10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,13,13,13,13,14,14,14,

%U 14,14,14,14,15,15,15,15,15,15,15,16,16,16,16,16

%N a(n) = floor(A066206(n)/A066205(n)).

%e a(1) = floor(3/2) = 1; a(2) = floor(3*7/(2*5)) = 2; a(3) = floor(3*7*13/(2*5*11)) = 2.

%t Table[Floor[Product[Prime[2 k], {k, 1, n}]/Product[Prime[2 k - 1], {k, 1, n}]], {n, 1, 200}]

%Y Cf. A000040, A066205, A066206.

%K nonn

%O 1,2

%A _Clark Kimberling_, Apr 19 2025