

A179393


Period of the Fibonaccitype sequence described by A015134.


3



1, 1, 3, 1, 8, 1, 6, 3, 6, 1, 20, 4, 1, 24, 8, 3, 1, 16, 16, 16, 1, 12, 6, 12, 3, 6, 12, 12, 1, 24, 24, 8, 24, 1, 60, 20, 3, 12, 4, 1, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 5, 10, 5, 1, 24, 24, 6, 8, 3, 24, 6, 24, 24, 1, 28, 28, 28, 28, 28, 28, 1, 48, 16, 48, 16, 48, 16, 3, 1, 40, 40, 20
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OFFSET

1,3


COMMENTS

First terms of A015134 are 1, 2, 2 and 4, meaning that there are 1, 2, 2 and 4 Fibonaccitype sequences modulo 1, 2, 3 and 4 respectively. These are:
mod 1: 0
mod 2: 0
mod 2: 0,1,1
mod 3: 0
mod 3: 0,1,1,2,0,2,2,1
mod 4: 0
mod 4: 0,1,1,2,3,1
mod 4: 0,2,2
mod 4: 0,3,3,2,1,3
The first sequence for each modulus is the period1 sequence of 0,0,0... This has the helpful side effect of causing 1 to act as a delimiter between modulus entries: the first 1 indicates the start of modulo1 sequences, the second 1 indicates the start of modulo2 sequences, etc.
For each group of sequences (the group start indicated by a 1), the sum of the periods in that group equal the square of the modulus. 1 = 1, (1+3) = 4, (1+8) = 9, (1+6+3+6) = 16, etc.


LINKS

Table of n, a(n) for n=1..82.
Will Nicholes, Fibonacci numbers and Pisano periods.


CROSSREFS

Cf. A015134, A179390, A179391, A179392.
Sequence in context: A059526 A091839 A155789 * A217598 A280207 A319045
Adjacent sequences: A179390 A179391 A179392 * A179394 A179395 A179396


KEYWORD

nonn,tabf


AUTHOR

Will Nicholes, Jul 12 2010


STATUS

approved



