A078735 a(0) = 0, a(1) = 3; a(n+1) = the smallest x such that Fibonacci(x)-Fibonacci(a(n)) is both prime and greater than Fibonacci(a(n))-Fibonacci(a(n-1)).

0, 3, 5, 9, 13, 18, 37, 384, 569, 2760, 3293

Offset

0,2

Comments

Some of the larger entries may only correspond to probable primes.

Links

Table of n, a(n) for n=0..10.

Formula

A078727(n) = Fibonacci(a(n))-Fibonacci(a(n-1)).

Mathematica

a[0] = 0; a[1] = 3; a[n_] := a[n] = Block[{d = Fibonacci[a[n - 1]] - Fibonacci[a[n - 2]], f = Fibonacci[a[n - 1]], k = a[n - 1] + 1}, While[Fibonacci[k] - f <= d || !PrimeQ[Fibonacci[k] - f], k++ ]; k]; Do[ Print[ a[n]], {n, 0, 10}] (* Robert G. Wilson v *)

Crossrefs

A more compact version of A078727.

Cf. A000045.

Sequence in context: A071404 A074133 A215909 * A212530 A004132 A207187

Adjacent sequences: A078732 A078733 A078734 * A078736 A078737 A078738

Keyword

nonn

Author

Jack Brennen, Dec 20 2002

Extensions

a(10) from Robert G. Wilson v, Nov 30 2005

Status

approved