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Records in 7-almost prime gaps, ordered by merit.
1

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

%S 64,96,112,168,210,280

%N Records in 7-almost prime gaps, ordered by merit.

%F a(n) = Records in A114417(n)/log(A046308(n)) = Records in (A046308(n+1) - A046308(n))/log(A046308(n)).

%e Records defined in terms of A114407 and A046308:

%e n A114407(n) A114407(n)/log(A046308(n))

%e 1 64 64/log 128 = 30.371914

%e 2 96 96/log 192 = 42.0443868

%e 3 32 32/log 288 = 13.0113433

%e 4 112 112/log 320 = 44.7079021

%e 5 16 16/log 432 = 6.07099172

%e 6 32 32/log 448 = 12.0696509

%e 7 168 168/log 480 = 62.6575474

%e 8 24 24/log 648 = 8.53614076

%Y Cf. A046308, A065516, A111870, A111871, A114403-A114411, A114412-A114422.

%K nonn,more

%O 1,1

%A _Jonathan Vos Post_, Nov 25 2005

%E a(5)-a(6) from _Donovan Johnson_, Feb 17 2010