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A128974 Numbers n such that 12n does not divide Fibonacci(12n). +0
1
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 (list; graph; listen)
OFFSET

1,1

COMMENT

a(n) is a complement of A072378(n) = {1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 24, 25, 27, ...} Numbers n such that 12n divides Fibonacci(12n). It appears that a(n) includes all powers p^k for prime p>5 and integer k>0.

MATHEMATICA

Select[ Range[400], !IntegerQ[ Fibonacci[ 12# ] / (12#) ] & ]

CROSSREFS

Cf. A072378 = numbers n such that 12n divides Fibonacci(12n). Cf. A023172 = numbers n such that n divides Fibonacci(n).

Sequence in context: A112090 A103487 A112588 this_sequence A005776 A007775 A070884

Adjacent sequences: A128971 A128972 A128973 this_sequence A128975 A128976 A128977

KEYWORD

nonn

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), May 11 2007

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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