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A089808

a(n) = floor(1/((n*r) mod 1)), where r = phi^(-2) = (3 - sqrt(5))/2.

2, 1, 6, 1, 1, 3, 1, 17, 2, 1, 4, 1, 1, 2, 1, 8, 2, 1, 3, 1, 46, 2, 1, 5, 1, 1, 3, 1, 12, 2, 1, 4, 1, 1, 2, 1, 7, 1, 1, 3, 1, 23, 2, 1, 5, 1, 1, 2, 1, 10, 2, 1, 4, 1, 122, 2, 1, 6, 1, 1, 3, 1, 15, 2, 1, 4, 1, 1, 2, 1, 8, 1, 1, 3, 1, 33, 2, 1, 5, 1, 1, 3, 1, 11, 2, 1, 4, 1, 1, 2, 1, 7, 1, 1, 3, 1, 19, 2, 1, 5, 1

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OFFSET

1,1

COMMENTS

1. a(n) = 1 iff A024569 is not 1, (A024569 = 1, 4, 1, 2, 11, 1, 3, 1, 1, ...)

2. a(n) = 1 iff A078588 = 0.

3. a(n) = 1 iff A089809 = 1.

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..5000

EXAMPLE

a(6) = 3. Take 6*r = 2.29179...( mod 1) = 0.29179...; invert = 3.42705... and delete the fractional part, getting 3.

MATHEMATICA