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Search: id:A078735
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| A078735 |
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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)). |
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+0
2
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| 0, 3, 5, 9, 13, 18, 37, 384, 569, 2760, 3293
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Some of the larger entries may only correspond to probable primes.
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FORMULA
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A078727(n) = Fibonacci(a(n))-Fibonacci(a(n-1))
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MATHEMATICA
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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 *)
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CROSSREFS
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A more compact version of A078727.
Cf. A000045.
Sequence in context: A129230 A071404 A074133 this_sequence A004132 A065802 A118028
Adjacent sequences: A078732 A078733 A078734 this_sequence A078736 A078737 A078738
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KEYWORD
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nonn
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AUTHOR
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Jack Brennen (jb(AT)brennen.net), Dec 20 2002
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EXTENSIONS
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a(10) from Robert G. Wilson v (rgwv(at)rgwv.com), Nov 30 2005
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