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A298684
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Numbers i such that Fibonacci(i) is divisible by i, i+1, and i+2.
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8
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60, 540, 660, 1200, 1320, 1620, 2160, 3060, 5580, 6120, 6600, 6720, 8100, 9180, 9240, 9600, 9720, 9900, 11160, 12240, 12300, 12600, 13200, 13440, 13680, 15120, 15360, 18300, 18480, 19440, 19800, 21000, 22500, 24480, 24840, 26880, 27360, 28920, 29400, 30240, 30780
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OFFSET
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1,1
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COMMENTS
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LINKS
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MATHEMATICA
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fQ[n_] := Mod[ Fibonacci@ n, {n, n +1, n +2}] == {0, 0, 0}; Select[60 Range@513, fQ] (* Robert G. Wilson v, Jan 26 2018 *)
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PROG
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(Python)
from __future__ import division
A298684_list, n, a, b = [], 1, 1, 1
if not (a % (n*(n+1)*(n+2)//(1 if n % 2 else 2))):
n += 1
(Magma) [n: n in [2..10^5] | IsZero(Fibonacci(n) mod (n)) and IsZero(Fibonacci(n) mod (n+1)) and IsZero(Fibonacci(n) mod (n+2))]; // Vincenzo Librandi, Jan 27 2018
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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