

A015134


Consider Fibonaccitype sequences b(0)=X, b(1)=Y, b(k)=b(k1)+b(k2) mod n; all are periodic; sequence gives number of distinct periods.


12



1, 2, 2, 4, 3, 4, 4, 8, 5, 6, 14, 10, 7, 8, 12, 16, 9, 16, 22, 16, 29, 28, 12, 30, 13, 14, 14, 22, 63, 24, 34, 32, 39, 34, 30, 58, 19, 86, 32, 52, 43, 58, 22, 78, 39, 46, 70, 102, 25, 26, 42, 40, 27, 52, 160, 74, 63, 126, 62, 70, 63, 134, 104, 64, 57, 78, 34, 132, 101, 60, 74, 222
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OFFSET

1,2


COMMENTS

b(k) >= k/4 (by counting zeros).  R C Johnson (bob.johnson(AT)dur.ac.uk), Nov 20 2003


LINKS

David Radcliffe, Table of n, a(n) for n = 1..1000
B. Avila and T. Khovanova, Free Fibonacci Sequences, arXiv preprint arXiv:1403.4614 [math.NT], 2014 and J. Int. Seq. 17 (2014) # 14.8.5.
Jesse Fischer, Number Necklace Generator.
R. C. Johnson, Fibonacci Numbers and Resources.


CROSSREFS

Cf. A015135 (number of different orbit lengths of the 2step recursion mod n), A106306 (primes that yield a simple orbit structure in 2step recursions).
Sequence in context: A046701 A140472 A109168 * A171580 A246796 A177235
Adjacent sequences: A015131 A015132 A015133 * A015135 A015136 A015137


KEYWORD

nonn


AUTHOR

Phil Carmody


EXTENSIONS

More terms from Larry Reeves (larryr(AT)acm.org), Jan 06 2005


STATUS

approved



