

A257961


List of permutations of the intervals of numbers [0,F(n)) defined by x > x*F(n1) mod F(n), where F(n) is the nth Fibonacci number A000045.


1



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
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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, (k1)*fibonacci(n1) % 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



