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A214065 a(n) is the least m > 0 such that Fibonacci(n+1+m) and n-m are not relatively prime. 2
1, 2, 3, 4, 2, 2, 1, 6, 5, 1, 3, 2, 1, 5, 4, 4, 2, 2, 1, 6, 5, 1, 3, 2, 1, 5, 2, 4, 2, 2, 1, 2, 5, 1, 3, 2, 1, 5, 5, 1, 2, 2, 1, 6, 5, 1, 2, 2, 1, 5, 5, 1, 2, 2, 1, 6, 2, 1, 3, 2, 1, 2, 5, 4, 2, 2, 1, 6, 5, 1, 3, 2, 1, 5, 5, 4, 2, 1, 1, 6, 5, 1, 3, 2, 1, 5, 2, 4, 2, 2, 1, 2, 2, 1, 3, 2, 1, 5, 5 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

EXAMPLE

gcd(F(5+1+1), 5-1) = 1 and gcd(F(5+1+2), 5-2) > 1, so that a(5) = 2.

MATHEMATICA

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

Table[m = 1; While[GCD[b[n + 1 + m], c[n] - m] == 1, m++]; m, {n, 1, 120}]

CROSSREFS

Cf. A214063, A214064.

Sequence in context: A114734 A299755 A323907 * A182710 A182711 A138136

Adjacent sequences:  A214062 A214063 A214064 * A214066 A214067 A214068

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jul 25 2012

STATUS

approved

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Last modified May 26 00:08 EDT 2020. Contains 334613 sequences. (Running on oeis4.)