A005370 a(n) = Fibonacci(Fibonacci(n+1) + 1).

1, 1, 2, 3, 8, 34, 377, 17711, 9227465, 225851433717, 2880067194370816120, 898923707008479989274290850145, 3577855662560905981638959513147239988861837901112, 4444705723234237498833973519982908519933430818636409166351397897095281987215864

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

References

• N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..18

Crossrefs

Cf. A000045, A007570.

Programs

Magma

[Fibonacci(Fibonacci(n+1)+1): n in [0..17]]; // Vincenzo Librandi, Apr 20 2011

Maple

with(combinat, fibonacci): A005370 := n -> fibonacci(fibonacci(n+1)+1);
# second Maple program:
F:= n-> (<<0|1>, <1|1>>^n)[1, 2]:
a:= n-> F(F(n+1)+1):
seq(a(n), n=1..14);  # Alois P. Heinz, Nov 05 2015

Mathematica

Table[Fibonacci[Fibonacci[n+1] +1], {n, 0, 14}] (* Vladimir Joseph Stephan Orlovsky, Feb 08 2012 *)

SageMath

[fibonacci(fibonacci(n+1) +1) for n in range(15)] # G. C. Greubel, Nov 14 2022

Extensions

More terms from David W. Wilson

Description corrected by Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), Nov 17 2002