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Search: id:A090701
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| A090701 |
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a(n) is the minimal number k such that every binary word of length n can be divided into k palindromes. |
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+0
2
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| 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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A word l_0...l_n is called a palindrome if l_i=l_{n-i} for all i<=n.
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REFERENCES
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A. Baababov, A "Pentium" is good but a mind is better, Kvant, v.4-5 (1999), P.38-42, (in Russian).
O. V. Ravsky, On the palindromic decomposition of binary words, Journal of Automata, Languages and Combinatorics, 8, #1 (2003), p. 71-74.
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LINKS
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A. Baababov, A "Pentium" is good but a mind is better
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FORMULA
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a(n)=[n/6]+[(n+4)/6]+1 for every number n<>11 and a(11)=5
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CROSSREFS
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Cf. A090702.
Sequence in context: A109497 A156078 A123919 this_sequence A056970 A008668 A116563
Adjacent sequences: A090698 A090699 A090700 this_sequence A090702 A090703 A090704
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KEYWORD
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easy,nonn
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AUTHOR
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Sasha Ravsky (oravsky(AT)mail.ru), Jan 12, 2004
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