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

1,1

Comments

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

Links

Klaus Brockhaus, Table of n, a(n) for n=1..10000

Index entries for sequences related to the Josephus Problem

Formula

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

Example

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

Prog

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

Crossrefs

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

Cf. A100617, A250007.

Sequence in context: A260812 A003972 A023853 * A049066 A151688 A159276

Adjacent sequences: A056523 A056524 A056525 * A056527 A056528 A056529

Keyword

nonn

Author

Henry Bottomley, Jun 16 2000

Status

approved