%I A088551
%S A088551 1,3,2,8,11,7,4,11,28,3,9,12,23,19,9,16,11,7,28,5,12,23,9,48,40,35,19,
               4,
%T A088551 59,12,19,15,16,39,9,36,6,27,28,19,19,43,11,59,23,15,9,55,148,35,38,52,
%U A088551 35,6,21,31,16,26,57,28,12,21,43,68,51,67,14,19,119,32,7,72,112,99,5,33
%N A088551 Fibonacci winding number: the number of 'mod n' operations in one cycle 
               of the Fibonacci sequence modulo n.
%C A088551 If pi(n) is the n-th Pisano number (A001175) then a(n) is usually about 
               pi(n)/2 - and in any case a(n)>pi(n)/4
%H A088551 T. D. Noe, <a href="b088551.txt">Table of n, a(n) for n=2..10000</a>
%H A088551 R. C. Johnson, <a href="http://www.dur.ac.uk/bob.johnson/fibonacci/">
               Fibonacci Numbers and Resources</a>.
%e A088551 a(8)=4 because one cycle of the Fibonacci numbers modulo 8 is 0, 1, 1, 
               2, 3, 5; 0, 5, 5; 2, 7; 1; - including 4 'mod 8' operations, each 
               marked with a semi-colon.
%Y A088551 Cf. A001175, A015134.
%Y A088551 Sequence in context: A163356 A095013 A094188 this_sequence A165660 A107300 
               A047946
%Y A088551 Adjacent sequences: A088548 A088549 A088550 this_sequence A088552 A088553 
               A088554
%K A088551 easy,nice,nonn
%O A088551 2,2
%A A088551 R C Johnson (bob.johnson(AT)dur.ac.uk), Nov 19 2003
%E A088551 More terms from T. D. Noe (noe(AT)sspectra.com)
%E A088551 Edited by Ray Chandler (rayjchandler(AT)sbcglobal.net), Oct 26 2006