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A175289 Pisano period of A002605 modulo n. 1
1, 1, 3, 1, 24, 3, 48, 1, 9, 24, 10, 3, 12, 48, 24, 1, 144, 9, 180, 24, 48, 10, 22, 3, 120, 12, 27, 48, 840, 24, 320, 1, 30, 144, 48, 9, 36, 180, 12, 24, 280, 48, 308, 10, 72, 22, 46, 3, 336, 120, 144, 12, 936, 27, 120, 48, 180, 840, 29, 24, 60, 320, 144, 1, 24, 30, 1122, 144 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

a(79)=6240 [From John W. Layman, Aug 10 2010]

LINKS

Table of n, a(n) for n=1..68.

EXAMPLE

Reading 0, 1, 2, 6, 16, 44, 120, 328, 896, 2448,.. modulo 12 gives 0, 1, 2, 6, 4, 8, 0, 4, 8, 0, 4, 8 ,.. with period length a(n=12)= 3.

MATHEMATICA

a={1}; For[n=2, n<=80, n++, {x={{0, 1}}; t={1, 1}; While[ !MemberQ[x, t], {xl = x[[ -1]]; AppendTo[x, t]; t={Mod[2*(t[[1]]+xl[[1]]), n], Mod[2*(t[[2]] + xl[[2]]), n]}; }]; p = Flatten[Position[x, t]][[1]]; AppendTo[a, Length[x] - p+1]; }]; Print[a]; [From John W. Layman, Aug 10 2010]

CROSSREFS

Cf. A001175, A046738, A175181 - A175185, A175286.

Sequence in context: A270220 A281377 A138654 * A072271 A193472 A259208

Adjacent sequences:  A175286 A175287 A175288 * A175290 A175291 A175292

KEYWORD

nonn

AUTHOR

R. J. Mathar, Mar 24 2010

EXTENSIONS

Terms beyond a(28)=48 from John W. Layman, Aug 10 2010

STATUS

approved

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Last modified May 27 15:19 EDT 2017. Contains 287207 sequences.