%I #24 Mar 11 2024 11:31:57
%S 3,89,2584,75025,2178309,63245986,1836311903,53316291173,
%T 1548008755920,44945570212853,1304969544928657,37889062373143906,
%U 1100087778366101931,31940434634990099905,927372692193078999176,26925748508234281076009
%N a(n) = Fibonacci(7n + 4).
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (29,1)
%F From _R. J. Mathar_, Jul 04 2011: (Start)
%F G.f.: (-3-2*x) / (-1 + 29*x + x^2).
%F a(n) = 2*A049667(n) + 3*A049667(n+1). (End)
%F a(n) = A000045(A017029(n)). - _Michel Marcus_, Nov 07 2013
%t Table[Fibonacci[7n+4], {n, 0, 30}]
%o (Magma) [Fibonacci(7*n +4): n in [0..100]]; // _Vincenzo Librandi_, Apr 17 2011
%o (PARI) a(n)=fibonacci(7*n+4) \\ _Charles R Greathouse IV_, Jun 11 2015
%Y Cf. A000045, A001906, A001519, A033887, A015448, A014445, A033888, A033889, A033890, A033891, A102312, A099100, A134490-A134495, A103134, A134497-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
|