A056526 First differences of Flavius Josephus's sieve.

2, 4, 6, 6, 8, 12, 10, 14, 16, 12, 18, 24, 14, 34, 26, 16, 30, 36, 18, 42, 38, 12, 60, 22, 48, 38, 46, 36, 60, 54, 44, 36, 84, 22, 60, 84, 18, 78, 72, 60, 38, 112, 12, 96, 114, 26, 88, 92, 34, 90, 138, 26, 82, 98, 112, 54, 170, 36, 60, 168, 52, 128, 52, 128, 94, 108, 90, 188

Offset: 1

Author

Henry Bottomley, Jun 16 2000

Keywords

• nonn

Comments

Also run lengths in A100617. - Reinhard Zumkeller, Jan 14 2015

Examples

			Flavius's sieve starts 1,3,7,13,19,27,39,49 so first differences are 2,4,6,6,8,12,10.
		

Links

• Klaus Brockhaus, Table of n, a(n) for n=1..10000
• Index entries for sequences related to the Josephus Problem

Crossrefs

Cf. A000960 for definition, A139363 (records), A139364 (where records occur).

Cf. A100617, A250007.

Programs

Haskell

a056526 n = a056526_list !! (n-1)
a056526_list = zipWith (-) (tail a000960_list) a000960_list
-- Reinhard Zumkeller, Jan 14 2015

Formula

a(n) = A000960(n+1) - A000960(n).