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Search: id:A080757
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| A080757 |
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First differences of Beatty sequence A022838(n) = floor(n sqrt(3)). |
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+0
1
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| 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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Let S(0) = 1; obtain S(k) from S(k-1) by applying 1 -> 221, 2 -> 2221; sequence is S(0), S(1), S(2), ... - Matthew Vandermast (ghodges14(AT)comcast.net), Mar 25 2003
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MATHEMATICA
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Flatten[ NestList[ Flatten[ # /. {1 -> {2, 2, 1}, 2 -> {2, 2, 2, 1}}] &, {1}, 4]] (from Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 20 2005)
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CROSSREFS
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Equals A007538(n+1) - 1. Cf. A001030.
Sequence in context: A085030 A078377 A105697 this_sequence A037196 A116543 A107260
Adjacent sequences: A080754 A080755 A080756 this_sequence A080758 A080759 A080760
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Mar 25 2003
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