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%I #23 Mar 15 2023 11:40:02
%S 8,233,6765,196418,5702887,165580141,4807526976,139583862445,
%T 4052739537881,117669030460994,3416454622906707,99194853094755497,
%U 2880067194370816120,83621143489848422977,2427893228399975082453
%N a(n) = Fibonacci(7n + 6).
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (29,1).
%F G.f.: (-8-x) / (-1 + 29*x + x^2). - _R. J. Mathar_, Jul 04 2011
%F a(n) = A000045(A017053(n)). - _Michel Marcus_, Nov 08 2013
%F a(n) = 29*a(n-1) + a(n-2). - _Wesley Ivan Hurt_, Mar 15 2023
%t Table[Fibonacci[7n+6], {n, 0, 30}]
%t LinearRecurrence[{29,1},{8,233},20] (* _Harvey P. Dale_, Jul 21 2021 *)
%o (Magma) [Fibonacci(7*n +6): n in [0..100]]; // _Vincenzo Librandi_, Apr 17 2011
%o (PARI) a(n)=fibonacci(7*n+6) \\ _Charles R Greathouse IV_, Jun 11 2015
%Y Cf. A000045, A001906, A001519, A033887, A015448, A014445, A033888, A033889, A033890, A033891, A102312, A099100, A134490, A134491, A134492, A134493, A134494, A134495, A103134, A134497, A134498, A134499, A134500, A134501, A134502, A134503, A134504.
%K nonn,easy
%O 0,1
%A _Artur Jasinski_, Oct 28 2007
%E Offset changed from 1 to 0 by _Vincenzo Librandi_, Apr 17 2011
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