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A134504
a(n) = Fibonacci(7n + 6).
10
8, 233, 6765, 196418, 5702887, 165580141, 4807526976, 139583862445, 4052739537881, 117669030460994, 3416454622906707, 99194853094755497, 2880067194370816120, 83621143489848422977, 2427893228399975082453
OFFSET
0,1
FORMULA
G.f.: (-8-x) / (-1 + 29*x + x^2). - R. J. Mathar, Jul 04 2011
a(n) = A000045(A017053(n)). - Michel Marcus, Nov 08 2013
a(n) = 29*a(n-1) + a(n-2). - Wesley Ivan Hurt, Mar 15 2023
MATHEMATICA
Table[Fibonacci[7n+6], {n, 0, 30}]
LinearRecurrence[{29, 1}, {8, 233}, 20] (* Harvey P. Dale, Jul 21 2021 *)
PROG
(Magma) [Fibonacci(7*n +6): n in [0..100]]; // Vincenzo Librandi, Apr 17 2011
(PARI) a(n)=fibonacci(7*n+6) \\ Charles R Greathouse IV, Jun 11 2015
KEYWORD
nonn,easy
AUTHOR
Artur Jasinski, Oct 28 2007
EXTENSIONS
Offset changed from 1 to 0 by Vincenzo Librandi, Apr 17 2011
STATUS
approved