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.

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

Ray Chandler, Table of n, a(n) for n = 1..1000

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

Adjacent sequences: A187184 A187185 A187186 * A187188 A187189 A187190

Keyword

nonn

Author

N. J. A. Sloane, Mar 06 2011

Status

approved