A214063 - OEIS

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A214063

a(n) is the least m > 0 such that Fibonacci(n)+m and n-m are not relatively prime.

1, 2, 3, 4, 1, 2, 1, 8, 9, 5, 1, 2, 1, 14, 5, 16, 1, 2, 1, 5, 10, 1, 1, 2, 1, 2, 2, 28, 1, 2, 1, 10, 33, 6, 1, 2, 1, 38, 4, 5, 1, 2, 1, 44, 5, 1, 1, 2, 1, 2, 1, 21, 1, 2, 1, 7, 1, 58, 1, 2, 1, 62, 3, 64, 1, 2, 1, 68, 69, 1, 1, 2, 1, 2, 5, 76, 1, 1, 1, 5, 40, 82, 1, 2, 1, 28, 2, 10, 1, 2

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OFFSET

1,2

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..1000

EXAMPLE

gcd(8+1, 6-1) = 1 and gcd(8+2, 6-2) = 2, so that a(6) = 2.

MATHEMATICA

b[n_] := Fibonacci[n]; c[n_] := n;

Table[m = 1; While[GCD[b[n] + m, c[n] - m] == 1, m++]; m, {n, 1, 150}]

CROSSREFS

Cf. A214064, A214065.