A244226 Length of runs in A244221 (Greedy Catalan Base, A014418, reduced modulo 2).

1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 2, 1, 1, 1, 2

Offset: 0

Author

Antti Karttunen, Jun 23 2014

Keywords

• nonn

Comments

Also the length of runs in A244220.

Note: The indexing of A244220 and A244221 starts from zero, so the starting offset of this sequence is zero also.

Examples

			The first time we obtain value three at a(112) = 3, indicating that the first run of 3 in A244220 and A244221 starts at the position A244219(112) = 130, and indeed, it's the first time there are three consecutive "even" representations in Greedy Catalan Base:
A014418(130) = 30020,
A014418(131) = 30100,
A014418(132) = 100000,
A014418(133) = 100001.
		

Links

• Antti Karttunen, Table of n, a(n) for n = 0..4120

Crossrefs

A244218 gives the partial sums (the ending points of corresponding runs), while A244219 gives the starting points.

A244227 gives the even bisection, while the odd bisection is A000012 (all-1 sequence).