A114416 Records in 6-almost prime gaps ordered by merit.

32, 48, 56, 84, 105, 140

Offset

1,1

Links

Table of n, a(n) for n=1..6.

Formula

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

Example

Records defined in terms of A114406 and A046306:
n A114406(n) A114406(n)/log(A046306(n)).
1 32 32/log 64 = 17.7169498
2 48 48/log 96 = 24.2146479
3 16 16/log 144 = 7.41302726
4 56 56/log 160 = 25.4069653
5 8 8/log 216 = 3.42692589
6 16 16/log 224 = 6.80779215
7 84 84/log 240 = 35.2909853
8 12 12/log 324 = 4.77983862
...
22 105 105/log 624 = 37.5646032

Crossrefs

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

Sequence in context: A167527 A114406 A271784 * A046304 A114447 A090052

Adjacent sequences: A114413 A114414 A114415 * A114417 A114418 A114419

Keyword

nonn,more

Author

Jonathan Vos Post, Nov 25 2005

Extensions

a(6) from Donovan Johnson, Feb 17 2010

Status

approved