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A114413 Records in 3-almost prime gaps ordered by merit.

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%I A114413 #12 Jan 21 2025 23:45:37
%S A114413 4,6,12,58,83
%N A114413 Records in 3-almost prime gaps ordered by merit.
%F A114413 a(n) = records in A114403(n)/log_10(A014612(n)) = records in (A014612(n+1) - A014612(n))/log_10(A014612(n)).
%e A114413 Records defined in terms of A114403 and A014612:
%e A114413   n  A114403(n)  A114403(n)/log_10(A014612(n))
%e A114413   =  ==========  =============================
%e A114413   1      4       4/log_10(8)   = 4.42923746
%e A114413   2      6       6/log_10(12)  = 5.55977045
%e A114413   3      2       2/log_10(18)  = 1.59327954
%e A114413   4      7       7/log_10(20)  = 5.38035251
%e A114413   5      1       1/log_10(27)  = 0.698634425
%e A114413   6      2       2/log_10(28)  = 1.38201907
%e A114413   7      12      12/log_10(30) = 8.12390991
%e A114413   ...
%e A114413   19     14      14/log_10(78) = 7.3992072
%Y A114413 Cf. A014612, A065516, A111870, A111871, A114403-A114411, A114412-A114422.
%K A114413 nonn,more
%O A114413 1,1
%A A114413 _Jonathan Vos Post_, Nov 25 2005
%E A114413 a(4)-a(5) from _Donovan Johnson_, Feb 17 2010