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%I A134495 #46 Jan 06 2023 19:12:46
%S A134495 2,34,610,10946,196418,3524578,63245986,1134903170,20365011074,
%T A134495 365435296162,6557470319842,117669030460994,2111485077978050,
%U A134495 37889062373143906,679891637638612258,12200160415121876738
%N A134495 a(n) = Fibonacci(6n + 3).
%C A134495 From _Tanya Khovanova_, Jan 06 2023: (Start)
%C A134495 Fibonacci(6n+3) are divisible by 2 but not by 4.
%C A134495 These numbers are not divisible by 3. (End)
%H A134495 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (18,-1).
%H A134495 <a href="/index/Ch#Cheby">Index entries for sequences related to Chebyshev polynomials.</a>
%F A134495 From _R. J. Mathar_, Apr 17 2011: (Start)
%F A134495 G.f.: (2-2*x) / (1 - 18*x + x^2).
%F A134495 a(n) = 2*A007805(n). (End)
%F A134495 a(n) = A000045(A016945(n)). - _Michel Marcus_, Nov 08 2013
%F A134495 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
%t A134495 Table[Fibonacci[6n+3], {n, 0, 30}]
%t A134495 LinearRecurrence[{18,-1},{2,34},20] (* _Harvey P. Dale_, Jul 28 2018 *)
%o A134495 (Magma) [Fibonacci(6*n +3): n in [0..100]]; // _Vincenzo Librandi_, Apr 17 2011
%o A134495 (PARI) a(n)=fibonacci(6*n+3) \\ _Charles R Greathouse IV_, Jun 11 2015
%Y A134495 Cf. A000045, 2*A007805, A049660, A134492, A134493, A134494, A103134.
%Y A134495 Subsequence of A091999.
%K A134495 nonn,easy
%O A134495 0,1
%A A134495 _Artur Jasinski_, Oct 28 2007
%E A134495 Index in definition and offset corrected by _R. J. Mathar_, Apr 17 2011

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