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A128974
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Numbers k such that 12k does not divide Fibonacci(12k).
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3
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7, 11, 13, 17, 19, 21, 22, 23, 26, 29, 31, 33, 34, 35, 37, 38, 39, 41, 43, 44, 47, 49, 52, 53, 58, 59, 61, 62, 63, 65, 66, 67, 68, 69, 71, 73, 74, 76, 77, 78, 79, 82, 83, 85, 86, 87, 88, 89, 91, 93, 94, 95, 97, 99, 101, 103, 104, 105, 106, 107, 109, 111, 113, 115, 116, 117
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OFFSET
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1,1
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COMMENTS
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Complement of A072378 = {1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 24, 25, 27, ...} (numbers k such that 12k divides Fibonacci(12k)). It appears that {a(n)} includes all powers p^k for prime p > 5 and integer k > 0.
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LINKS
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MATHEMATICA
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Select[ Range[400], !IntegerQ[ Fibonacci[ 12# ] / (12#) ] & ]
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CROSSREFS
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Cf. A072378 (numbers k such that 12k divides Fibonacci(12k)).
Cf. A023172 (numbers k such that k divides Fibonacci(k)).
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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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