A263112 - OEIS

A263112

a(n) = F(F(n)) mod n, where F = Fibonacci = A000045.

0, 1, 1, 2, 0, 3, 2, 2, 1, 5, 1, 0, 8, 13, 10, 2, 12, 15, 5, 10, 1, 1, 1, 0, 0, 25, 1, 2, 5, 15, 27, 2, 10, 33, 20, 0, 1, 1, 34, 10, 40, 21, 18, 2, 10, 1, 1, 0, 1, 25, 1, 2, 16, 21, 5, 26, 37, 1, 7, 0, 33, 27, 1, 2, 40, 21, 5, 2, 1, 15, 1, 0, 46, 1, 25, 2, 68

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OFFSET

1,4

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = A007570(n) mod n.

MAPLE

F:= n-> (<<0|1>, <1|1>>^n)[1, 2]:

p:= (M, n, k)-> map(x-> x mod k, `if`(n=0, <<1|0>, <0|1>>,

`if`(n::even, p(M, n/2, k)^2, p(M, n-1, k).M))):

a:= n-> p(<<0|1>, <1|1>>, F(n), n)[1, 2]: