A257961 List of permutations of the intervals of numbers [0,F(n)) defined by x -> x*F(n-1) mod F(n), where F(n) is the n-th Fibonacci number A000045.

0, 0, 1, 0, 2, 1, 0, 3, 1, 4, 2, 0, 5, 2, 7, 4, 1, 6, 3, 0, 8, 3, 11, 6, 1, 9, 4, 12, 7, 2, 10, 5, 0, 13, 5, 18, 10, 2, 15, 7, 20, 12, 4, 17, 9, 1, 14, 6, 19, 11, 3, 16, 8, 0, 21, 8, 29, 16, 3, 24, 11, 32, 19, 6, 27, 14, 1, 22, 9, 30, 17, 4, 25, 12, 33, 20, 7

Offset

0,5

Comments

This sequence divides into blocks of length F(n), n = 2, 3, 4, 5, 6, ... (so F(n) = 1, 2, 3, 5, 8, ...)

Links

Peter G. Anderson, Table of n, a(n) for n = 0..317808

Example

This is an irregular array, the first few rows of which are:
0;
0, 1;
0, 2, 1;
0, 3, 1, 4, 2;
0, 5, 2, 7, 4, 1, 6, 3;
0, 8, 3, 11, 6, 1, 9, 4, 12, 7, 2, 10, 5;
0, 13, 5, 18, 10, 2, 15, 7, 20, 12, 4, 17, 9, 1, 14, 6, 19, 11, 3, 16, 8;

Prog

(PARI) row(n) = if (n<=2, [0], vector(fibonacci(n), k, (k-1)*fibonacci(n-1) % fibonacci(n))); \\ Michel Marcus, May 28 2015

Crossrefs

Sequence in context: A102057 A276276 A157497 * A225310 A131358 A291895

Adjacent sequences: A257958 A257959 A257960 * A257962 A257963 A257964

Keyword

nonn,tabf

Author

Peter G. Anderson, May 14 2015

Status

approved