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A249508
Lengths of complete iterations (direct and reverse branches) of the Kolakoski sequence A000002.
8
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
1,1
COMMENTS
See comments in A249507 for a description of iterated words in the Kolakoski sequence.
LINKS
Jean-Christophe Hervé, Table of n, a(n) for n = 1..65
FORMULA
a(2n+1) = A054352(n+1) + A054352(n) - 1;
a(2n+2) = A054352(n+2) + A054352(n) - 1.
EXAMPLE
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.
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved