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a(n) = Fibonacci(7n + 2).
6

%I #23 Mar 11 2024 05:01:15

%S 1,34,987,28657,832040,24157817,701408733,20365011074,591286729879,

%T 17167680177565,498454011879264,14472334024676221,420196140727489673,

%U 12200160415121876738,354224848179261915075,10284720757613717413913

%N a(n) = Fibonacci(7n + 2).

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (29,1)

%F G.f.: (-1-5*x) / (-1 + 29*x + x^2). - _R. J. Mathar_, Apr 17 2011

%F a(n) = A000045(A017005(n)). - _Michel Marcus_, Nov 07 2013

%t Table[Fibonacci[7n+2], {n, 0, 30}]

%o (Magma) [Fibonacci(7*n +2): n in [0..100]]; // _Vincenzo Librandi_, Apr 17 2011

%o (PARI) a(n)=fibonacci(7*n+2) \\ _Charles R Greathouse IV_, Jun 11 2015

%Y Cf. A000045, A134498, A134499, A134500, A134501, A134502, A134503, A134504.

%K nonn,easy

%O 0,2

%A _Artur Jasinski_, Oct 28 2007

%E Offset changed from 1 to 0 by _Vincenzo Librandi_, Apr 17 2011