A134499 a(n) = Fibonacci(7*n+1).
1, 21, 610, 17711, 514229, 14930352, 433494437, 12586269025, 365435296162, 10610209857723, 308061521170129, 8944394323791464, 259695496911122585, 7540113804746346429, 218922995834555169026, 6356306993006846248183
Offset: 0
Links
- Index entries for linear recurrences with constant coefficients, signature (29,1).
Programs
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Magma
[Fibonacci(7*n+1): n in [0..100]]; // Vincenzo Librandi, Apr 16 2011
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Mathematica
Table[Fibonacci[7 n + 1], {n, 0, 30}]
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PARI
a(n)=fibonacci(7*n+1) \\ Charles R Greathouse IV, Jun 11 2015
Formula
G.f.: ( -1+8*x ) / ( -1+29*x+x^2 ). - R. J. Mathar, Apr 17 2011
2*a(n) = Fibonacci(7*n) + Lucas(7*n). - Bruno Berselli, Oct 13 2017
Extensions
Offset corrected by Vincenzo Librandi, Apr 16 2011