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Search: id:A115239
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| A115239 |
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a(1)=floor[pi]=3; a(n+1)=floor[a(n)*pi]. |
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3
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| 3, 9, 28, 87, 273, 857, 2692, 8457, 26568, 83465, 262213, 823766, 2587937, 8130243, 25541911, 80242279, 252088554, 791959549, 2488014301, 7816327450, 24555716894, 77144059797, 242355211526, 761381352089, 2391950062303
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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a(n+1)/a(n) converges to pi. Similar to sequence A085839 but with a simpler definition.
Subset of the Beatty sequence of Pi = A022844 = Floor(n*Pi). Primes in this sequence include a(1) = 3, a(6) = 857, a(15) = 25541911. - Jonathan Vos Post (jvospost3(AT)gmail.com), Jan 18 2006
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LINKS
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Eric Weisstein's World of Mathematics, Beatty Sequence.
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EXAMPLE
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a(2)=floor[a(1)*pi]=floor[3*pi]=9;
a(3)=floor[a(2)*pi]=floor[9*pi]=28;
a(4)=floor[a(3)*pi]=floor[28*pi]=87.
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MATHEMATICA
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a[1] = Floor[Pi]; a[n_] := a[n] = Floor[a[n - 1]*Pi]; Array[a, 25] (* Robert G. Wilson v *)
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CROSSREFS
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Cf. A085839.
Cf. A022844, A038130, A054386, A108591.
Sequence in context: A052939 A085839 A134915 this_sequence A118365 A095716 A124820
Adjacent sequences: A115236 A115237 A115238 this_sequence A115240 A115241 A115242
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KEYWORD
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nonn
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AUTHOR
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Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jan 17 2006
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Jan 18 2006
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