

A249948


Gaps between single 1's in the Kolakoski sequence A000002.


4



6, 3, 10, 5, 9, 3, 6, 3, 9, 6, 3, 9, 3, 6, 6, 3, 10, 5, 3, 9, 10, 9, 6, 3, 6, 3, 9, 6, 3, 9, 5, 9, 3, 6, 6, 3, 9, 10, 3, 5, 10, 9, 3, 5, 9, 3, 6, 3, 9, 3, 6, 6, 3, 10, 5, 3, 6, 3, 6, 9, 3, 6, 3, 6, 3, 5, 10, 3, 9, 5, 3, 10, 9, 3, 5, 10, 3, 6, 6, 3, 10, 5, 9, 3, 10, 9, 3, 6, 6
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OFFSET

1,1


COMMENTS

Except the first term, equals first difference of A249942.
The only possible values are 3, 5, 6, 9 and 10: a(n) cannot take the value 2, because it would imply the word 21212 which does not appear in the OK sequence; a(n) = 3 with the word 212212, a(n) = 5 with 21211212, a(n) = 6 with 212211212 or 212112212, a(n) = 9 with 212211211212 or 212112112212, a(n) = 10 with 2122112112212. And from this it is easily seen that a(n) and a(n+1) cannot be equal unless a(n) = a(n+1) = 6 with the word 212112212211212.


LINKS



CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



