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A074286
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Partial sum of the Kolakoski sequence (A000002) minus n.
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5
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0, 1, 2, 2, 2, 3, 3, 4, 5, 5, 6, 7, 7, 7, 8, 8, 8, 9, 10, 10, 11, 11, 11, 12, 12, 13, 14, 14, 14, 15, 15, 15, 16, 16, 17, 18, 18, 19, 20, 20, 20, 21, 21, 22, 23, 23, 24, 24, 24, 25, 25, 25, 26, 27, 27, 28, 29, 29, 29, 30, 30, 31, 32, 32, 33, 34, 34, 34, 35, 35
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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REFERENCES
| O. Bordelles and B. Cloitre, Bounds for the Kolakoski Sequence, J. Integer Sequences, 14 (2011), #11.2.1.
Bertran Steinsky, A Recursive Formula for the Kolakoski Sequence A000002, Journal of Integer Sequences, Vol. 9 (2006), Article 06.3.7.
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LINKS
| Nathaniel Johnston, Table of n, a(n) for n = 1..10000
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FORMULA
| a(n)=#{1<=k<=n : A000002(k)=2} [From Benoit Cloitre (benoit7848(AT)orange.fr), Feb 03 2009]
a(n) = A054353(n) - n. - [From Nathaniel Johnston, May 02 2011]
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EXAMPLE
| Kolakoski : 1,2,2,1,1,2,1,2,2,1,2,2,1,1,2,1,1,2,2,1,2 The partial sums are 1,3,5,6,7,9..., so the sequence is 1-1=0,3-2=1,5-3=2,6-4=2,7-5=2,9-6=3
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CROSSREFS
| Cf. A054353.
Sequence in context: A073174 A107631 A029098 * A025769 A103563 A008625
Adjacent sequences: A074283 A074284 A074285 * A074287 A074288 A074289
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KEYWORD
| nonn,easy
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AUTHOR
| Jon Perry (perry(AT)globalnet.co.uk), Sep 21 2002
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EXTENSIONS
| Corrected offset from Nathaniel Johnston (nathaniel(AT)nathanieljohnston.com), May 02 2011
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