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Search: id:A079378
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| A079378 |
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Cost'{e} prime expansion of (sqrt(5)-1)/2. |
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+0
3
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| 2, 5, 7, 5, 5, 2, 11, 5, 2, 13, 11, 5, 5, 5, 5, 2, 5, 3, 5, 11, 2, 79, 37, 11, 5, 3, 7, 17, 59, 23, 11, 2, 17, 7, 3, 7, 7, 383, 337, 67, 13, 19, 47, 23, 41, 17, 17, 13, 67, 71, 47, 17, 11, 19, 73, 53, 17, 13, 37, 19, 11, 5, 13, 29, 43, 47, 17, 5, 5, 11, 3, 3, 17, 5, 97, 29, 11, 3, 3, 3, 7
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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For x in (0,1], define P(x) = min{p: p prime, 1/x < p}, Phi(x) = P(x)x - 1. Cost'{e} prime expansion of x(0) is sequence a(0), a(1), ... given by x(n) = Phi(x(n-1)) (n>0), a(n) = P(x(n)) (n >= 0).
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REFERENCES
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A. Cost'{e} [Coste], Sur un syst`{e}me fibr'{e} li'{e} a la suite des nombres premiers, Exper. Math., 11 (2002), 383-405.
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LINKS
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A. Cost'{e} [Coste], Sur un syst`{e}me fibr'{e} li'{e} a la suite des nombres premiers, Exper. Math., 11 (2002), 383-405.
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MAPLE
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Digits := 500: P := proc(x) local y; y := ceil(evalf(1/x)); if isprime(y) then y else nextprime(y); fi; end; F := proc(x) local y, i, t1; y := x; t1 := []; for i from 1 to 100 do p := P(y); t1 := [op(t1), p]; y := p*y-1; od; t1; end; F((sqrt(5)-1)/2);
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CROSSREFS
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Cf. A079379, A079380, A079366-A079368.
Sequence in context: A135007 A082880 A011038 this_sequence A066035 A167554 A078320
Adjacent sequences: A079375 A079376 A079377 this_sequence A079379 A079380 A079381
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Feb 16 2003
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EXTENSIONS
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More terms from Mark Hudson (mrmarkhudson(AT)hotmail.com), Feb 17 2003
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