A114418 Records in 8-almost prime gaps ordered by merit.

128, 192, 224, 336, 420, 560

Offset

1,1

Links

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

Formula

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

Example

Records defined in terms of A114408 and A046310:
n A114418(n) A114418(n)/log(A046310(n)).
1 128 128/log 256 = 53.1508495
2 192 192/log 384 = 74.2938824
3 64 64/log 576 = 23.1848568
4 224 224/log 640 = 79.8238182
5 32 32/log 864 = 10.8972758
6 64 64/log 896 = 21.6779549
7 336 336/log 960 = 112.665809
8 48 48/log 1296 = 15.4211665
22 420 420/log 2496 = 123.629603

Crossrefs

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

Sequence in context: A257211 A109651 A114408 * A046307 A036331 A046308

Adjacent sequences: A114415 A114416 A114417 * A114419 A114420 A114421

Keyword

easy,nonn

Author

Jonathan Vos Post, Dec 03 2005

Extensions

Offset corrected and a(6) from Donovan Johnson, Feb 17 2010

Status

approved