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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 (list; graph; refs; listen; history; text; internal format)
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 212-212, a(n) = 5 with 212-11-212, a(n) = 6 with 212-211-212 or 212-112-212, a(n) = 9 with 212-211-211-212 or 212-112-112-212, a(n) = 10 with 212-2112112-212. 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 21-21122-1-22112-12.

LINKS

Jean-Christophe Hervé, Table of n, a(n) for n = 1..10000

CROSSREFS

Cf. A000002, A054351, A054352, A249507, A249508, A249942.

Sequence in context: A214497 A177015 A327000 * A066070 A336319 A272549

Adjacent sequences:  A249945 A249946 A249947 * A249949 A249950 A249951

KEYWORD

nonn

AUTHOR

Jean-Christophe Hervé, Nov 09 2014

STATUS

approved

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Last modified October 25 17:22 EDT 2021. Contains 348255 sequences. (Running on oeis4.)