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Search: id:A095343
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| A095343 |
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Length of n-th string generated by a Kolakoski(7,1) rule starting with a(1)=1. |
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6
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| 1, 1, 7, 7, 31, 49, 145, 289, 727, 1591, 3775, 8545, 19873, 45505, 105127, 241639, 557023, 1281937, 2953009, 6798817, 15657847, 36054295, 83027839, 191190721, 440274241, 1013846401, 2334669127, 5376208327, 12380215711, 28508840689
(list; graph; listen)
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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(7,1) rule and the additonal condition : "string begins with 1 if previous string ends with 5 and vice-versa". The strings are : 1->7->1111111->7171717->11111117111111171111111711111117->... and each one contains 1,1,7,7,31,... elements
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FORMULA
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a(1)=a(2)=1, a(n)=a(n-1)+3*a(n-2)-3*(-1)^n
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CROSSREFS
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Cf. A000002, A066983, A095342, A095344.
Sequence in context: A027844 A111217 A140252 this_sequence A121210 A112685 A022667
Adjacent sequences: A095340 A095341 A095342 this_sequence A095344 A095345 A095346
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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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