A249508 Lengths of complete iterations (direct and reverse branches) of the Kolakoski sequence A000002.

2, 4, 5, 8, 10, 14, 17, 24, 28, 38, 45, 60, 70, 92, 107, 141, 163, 214, 248, 324, 375, 489, 565, 736, 850, 1107, 1278, 1663, 1920, 2495, 2880, 3742, 4317, 5612, 6474, 8415, 9710, 12626, 14567, 18941, 21857, 28415, 32789, 42629, 49187, 63953, 73793, 95944, 110710, 143946, 166097

Offset: 1

Author

Jean-Christophe Hervé, Oct 30 2014

Keywords

• nonn

Comments

See comments in A249507 for a description of iterated words in the Kolakoski sequence.

Examples

			The OK sequence begins as (highlighting an iteration of length 10): 122112-1221221121-1221211.., where iterations of length 2, 4, 5 and 8 can also be seen.
		

Links

• Jean-Christophe Hervé, Table of n, a(n) for n = 1..65

Crossrefs

Cf. A000002, A054351, A054352, A249093, A249094, A249507.

Formula

a(2n+1) = A054352(n+1) + A054352(n) - 1;

a(2n+2) = A054352(n+2) + A054352(n) - 1.