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A134495
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a(n) = Fibonacci(6n + 3).
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11
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2, 34, 610, 10946, 196418, 3524578, 63245986, 1134903170, 20365011074, 365435296162, 6557470319842, 117669030460994, 2111485077978050, 37889062373143906, 679891637638612258, 12200160415121876738
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OFFSET
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0,1
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COMMENTS
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Fibonacci(6n+3) are divisible by 2 but not by 4.
These numbers are not divisible by 3. (End)
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LINKS
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FORMULA
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G.f.: (2-2*x) / (1 - 18*x + x^2).
a(n) = 2*(S(n, 18) - S(n-1, 18)), n >= 0, with the Chebyshev S-polynomials S(n-1, 18) = A049660(n). (See the g.f.) - Wolfdieter Lang, Jul 10 2018
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MATHEMATICA
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Table[Fibonacci[6n+3], {n, 0, 30}]
LinearRecurrence[{18, -1}, {2, 34}, 20] (* Harvey P. Dale, Jul 28 2018 *)
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PROG
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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Index in definition and offset corrected by R. J. Mathar, Apr 17 2011
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STATUS
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approved
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