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Records in 6-almost prime gaps ordered by merit.
0

%I #7 Mar 30 2012 18:40:35

%S 32,48,56,84,105,140

%N Records in 6-almost prime gaps ordered by merit.

%F a(n) = records in A114406(n)/log(A046306(n)) = records in (A046306(n+1) - A046306(n))/log(A046306(n)).

%e Records defined in terms of A114406 and A046306:

%e n A114406(n) A114406(n)/log(A046306(n)).

%e 1 32 32/log 64 = 17.7169498

%e 2 48 48/log 96 = 24.2146479

%e 3 16 16/log 144 = 7.41302726

%e 4 56 56/log 160 = 25.4069653

%e 5 8 8/log 216 = 3.42692589

%e 6 16 16/log 224 = 6.80779215

%e 7 84 84/log 240 = 35.2909853

%e 8 12 12/log 324 = 4.77983862

%e ...

%e 22 105 105/log 624 = 37.5646032

%Y Cf. A046306, A065516, A111870, A111871, A114403-A114411, A114412-A114422.

%K nonn,more

%O 1,1

%A _Jonathan Vos Post_, Nov 25 2005

%E a(6) from _Donovan Johnson_, Feb 17 2010