A258575 Numbers n such that Lucas(n)-Fibonacci(n) is squarefree.
0, 2, 3, 5, 6, 8, 9, 11, 12, 14, 15, 17, 18, 20, 21, 23, 24, 27, 29, 30, 32, 33, 35, 36, 38, 39, 41, 42, 44, 45, 47, 48, 50, 53, 54, 56, 59, 60, 62, 63, 65, 66, 68, 69, 71, 72, 74, 75, 77, 78, 80, 81, 83, 84, 86, 87, 89, 90, 93, 95, 96, 98, 99, 102, 104, 105
Offset: 1
Programs
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Magma
[0] cat [n: n in [2..150] | IsSquarefree(Lucas(n)-Fibonacci(n))];
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Mathematica
Select[Range[0, 200], SquareFreeQ[LucasL[#] - Fibonacci[#]] &]
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Sage
[n for n in (0..110) if is_squarefree(2*fibonacci(n-1))] # Bruno Berselli, Jun 05 2015
Extensions
Name corrected by Bruno Berselli, Jun 05 2015
Comments