A218665 Numbers k that divide the sum of the first k numbers from Flavius Josephus's sieve (A099074).

1, 2, 4, 10, 16, 20, 41, 44, 55, 67, 76, 548, 751, 1962, 3318, 3760, 5873, 7729, 8074, 15502, 33847, 65888, 89836, 167786, 512688, 1401686, 2520988, 2897654, 5552333, 6352323, 7981750

Offset

1,2

Comments

a(32) > 10^7.

Links

Table of n, a(n) for n=1..31.

Index entries for sequences related to the Josephus Problem

Example

The sum of the first 20 terms of A000960 is 2240, which is divisible by 20, so 20 is a term.

Prog

(PARI) s=1; print1(1 ", "); for(n=2, 10^4, f=n^2; forstep(m=n-1, 2, -1, r=f%m; if(r==0, r=m); f=f-r); f--; s=s+f; if(s%n==0, print1(n ", ")))

Crossrefs

Cf. A000960.

Sequence in context: A358317 A096689 A039682 * A189558 A111149 A123689

Adjacent sequences: A218662 A218663 A218664 * A218666 A218667 A218668

Keyword

nonn,more

Author

Donovan Johnson, Nov 04 2012

Status

approved