A175286 Pisano period of the Jacobsthal sequence A001045 modulo n.

1, 1, 6, 2, 4, 6, 6, 2, 18, 4, 10, 6, 12, 6, 12, 2, 8, 18, 18, 4, 6, 10, 22, 6, 20, 12, 54, 6, 28, 12, 10, 2, 30, 8, 12, 18, 36, 18, 12, 4, 20, 6, 14, 10, 36, 22, 46, 6, 42, 20, 24, 12, 52, 54, 20, 6, 18, 28, 58, 12, 60, 10, 18, 2, 12, 30, 66, 8, 66, 12, 70, 18, 18, 36, 60, 18, 30, 12, 78, 4

Offset

1,3

Links

Table of n, a(n) for n=1..80.

Eric Weisstein's World of Mathematics, Pisano period.

Wikipedia, Pisano period.

Example

Reading the sequence 0, 1, 1, 3, 5, 11, 21, ... modulo n=3, we get 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, ... = A088689, which has a period (1, 1, 0, 2, 2, 0) of length a(n=3) = 6.

Crossrefs

Cf. A001045, A001175, A088689, A175181.

Sequence in context: A370465 A358089 A010493 * A061496 A125115 A202244

Adjacent sequences: A175283 A175284 A175285 * A175287 A175288 A175289

Keyword

nonn

Author

R. J. Mathar, Mar 21 2010

Status

approved