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A080757 First differences of Beatty sequence A022838(n) = floor(n sqrt(3)). +0
1
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)
OFFSET

0,2

FORMULA

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

MATHEMATICA

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)

CROSSREFS

Equals A007538(n+1) - 1. Cf. A001030.

Adjacent sequences: A080754 A080755 A080756 this_sequence A080758 A080759 A080760

Sequence in context: A085030 A078377 A105697 this_sequence A037196 A116543 A107260

KEYWORD

nonn

AUTHOR

njas, Mar 25 2003

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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