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Search: id:A095344
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| A095344 |
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Length of n-th string generated by a Kolakoski(9,1) rule starting with a(1)=1. |
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6
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| 1, 1, 9, 9, 49, 81, 281, 601, 1729, 4129, 11049, 27561, 71761, 182001, 469049, 1197049, 3073249, 7861441, 20154441, 51600201, 132217969, 338618769, 867490649, 2221965721, 5691928321, 14579791201, 37347504489, 95666669289
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OFFSET
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1,3
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COMMENT
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Each string is derived from the previous string using the Kolakoski(9,1) rule and the additonal condition : "string begins with 1 if previous string ends with 9 and vice-versa". The strings are : 1->9->111111111->919191919->11111111191111111119...->... and each one contains 1,1,9,9,31,... elements
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FORMULA
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a(1)=a(2)=1, a(n)=a(n-1)+4*a(n-2)-4*(-1)^n
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CROSSREFS
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Cf. A000002, A066983, A095342, A095343.
Sequence in context: A097988 A103646 A111219 this_sequence A014718 A112296 A038299
Adjacent sequences: A095341 A095342 A095343 this_sequence A095345 A095346 A095347
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 03 2004
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