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Records in 8-almost prime gaps ordered by merit.
1

%I #5 Mar 30 2012 18:40:35

%S 128,192,224,336,420,560

%N Records in 8-almost prime gaps ordered by merit.

%F a(n) = records in A114418(n)/log(A046310(n)) = records in (A046310(n+1) - A046310(n))/log(A046310(n)).

%e Records defined in terms of A114408 and A046310:

%e n A114418(n) A114418(n)/log(A046310(n)).

%e 1 128 128/log 256 = 53.1508495

%e 2 192 192/log 384 = 74.2938824

%e 3 64 64/log 576 = 23.1848568

%e 4 224 224/log 640 = 79.8238182

%e 5 32 32/log 864 = 10.8972758

%e 6 64 64/log 896 = 21.6779549

%e 7 336 336/log 960 = 112.665809

%e 8 48 48/log 1296 = 15.4211665

%e 22 420 420/log 2496 = 123.629603

%Y Cf. A046310, A065516, A111870, A111871, A114403-A114411, A114412-A114422.

%K easy,nonn

%O 1,1

%A _Jonathan Vos Post_, Dec 03 2005

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