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A166038 Period of A022405 mod n. 0
1, 3, 12, 18, 30, 12, 42, 18, 24, 30, 48, 36, 42, 42, 60, 36, 102, 24, 78, 90, 84, 48, 24, 36, 30, 42, 72, 126, 84, 60, 312, 72, 48, 102, 210, 72, 84, 78, 84, 90, 48, 84, 66, 144, 120, 24, 18, 36, 42, 30, 204, 126, 276, 72, 240, 126, 156, 84, 144, 180, 444, 312, 168, 144 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Pisano-style numbers for the recurrence b(n) = n for 0 <= n <= 2, otherwise b(n) = b(n-1)*b(n-2) - b(n-3); that is, the sequence b(n) = A022405(n+1).
LINKS
Eric Weisstein's World of Mathematics, Pisano period.
Wikipedia, Pisano period.
PROG
(bc) /* GNU bc */ define p(m){auto os, a, b, c, d, k; if(m<3)return 2*m-1; os=scale; scale=0; a=0; b=1; c=2; k=0; while(1){d=(c*b+m-a)%m; a=b; b=c; c=d; k+=1; if(a==0&&b==1&&c==2)break}; scale=os; return k}; for(i=1; i<=200; i++)print p(i), ", "; print"\n"
CROSSREFS
Sequence in context: A061564 A348169 A342785 * A052637 A120623 A158517
KEYWORD
easy,nonn
AUTHOR
Carl R. White, Oct 05 2009
STATUS
approved

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Last modified April 17 17:01 EDT 2024. Contains 371765 sequences. (Running on oeis4.)