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A187187
Parse the infinite string 0123456780123456780123456780... into distinct phrases 0, 1, 2, 3, 4, 5, 6, 7, 8, 01, 23, 45, 67, 80, 12, 34, 56, 78, 012, ...; a(n) = length of n-th phrase.
3
1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 6, 6, 6, 7, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 10, 9, 10, 9, 10, 9, 10, 9, 10, 9, 10, 9, 10, 9, 10, 9, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 13, 12, 12, 12, 13, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14
OFFSET
1,10
COMMENTS
See A187180 for details.
LINKS
Index entries for linear recurrences with constant coefficients, signature (1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1).
FORMULA
After the initial block of nine 1's, the sequence is quasi-periodic with period 81, increasing by 9 after each block.
CROSSREFS
See A187180-A187188 for alphabets of size 2 through 10.
Sequence in context: A279224 A167383 A167661 * A300358 A102682 A116371
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Mar 06 2011
STATUS
approved