A114414 Records in 4-almost prime gaps ordered by merit.
8, 12, 14, 21, 28
Offset: 1
Examples
Records defined in terms of A114404 and A014613: n A114404(n) A114404(n)/log_10(A014613(n)) = ========== ============================= 1 8 8/log_10(16) = 6.64385619 2 12 12/log_10(24) = 8.6943213 3 4 4/log_10(36) = 2.57019442 4 14 14/log_10(40) = 8.73874891 5 2 2/log_10(54) = 1.15447195 6 4 4/log_10(56) = 2.2880834 7 21 21/log_10(60) = 11.810019 ... 13 22 22/log_10(104) = 10.9071078 ... 21 28 28/log_10(156) = 12.7671725
Programs
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Maple
Digits := 16 : A114414 := proc() local n,a014613,a114414,rec ; a014613 := 16 ; a114414 := 8 ; rec := a114414/log(a014613) ; print(a114414) ; n := 17 ; while true do while numtheory[bigomega](n) <> 4 do n := n+1 ; od ; a114414 := n-a014613 ; if ( evalf(a114414/log(a014613)) > evalf(rec) ) then rec := a114414/log(a014613) ; print(a114414) ; fi ; a014613 := n ; n := n+1 : od ; end: A114414() ; # R. J. Mathar, Mar 13 2007
Comments