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

4, 6, 12, 58, 83

Offset: 1

Author

Jonathan Vos Post, Nov 25 2005

Keywords

• nonn
• more

Examples

			Records defined in terms of A114403 and A014612:
  n  A114403(n)  A114403(n)/log_10(A014612(n))
  =  ==========  =============================
  1      4       4/log_10(8)   = 4.42923746
  2      6       6/log_10(12)  = 5.55977045
  3      2       2/log_10(18)  = 1.59327954
  4      7       7/log_10(20)  = 5.38035251
  5      1       1/log_10(27)  = 0.698634425
  6      2       2/log_10(28)  = 1.38201907
  7      12      12/log_10(30) = 8.12390991
  ...
  19     14      14/log_10(78) = 7.3992072
		

Crossrefs

Cf. A014612, A065516, A111870, A111871, A114403-A114411, A114412-A114422.

Formula

a(n) = records in A114403(n)/log_10(A014612(n)) = records in (A014612(n+1) - A014612(n))/log_10(A014612(n)).

Extensions

a(4)-a(5) from Donovan Johnson, Feb 17 2010