A249948 Gaps between single 1's in the Kolakoski sequence A000002.

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

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: A177015 A355971 A327000 * A066070 A336319 A272549

Adjacent sequences: A249945 A249946 A249947 * A249949 A249950 A249951

Keyword

nonn

Author

Jean-Christophe Hervé, Nov 09 2014

Status

approved