A198260 Runs of 1s in binary strings corresponding to subgroups of nimber addition.

1, 1, 2, 2, 1, 2, 2, 2, 2, 4, 3, 2, 3, 4, 2, 1, 2, 2, 2, 2, 4, 3, 2, 4, 4, 2, 2, 2, 4, 4, 4, 3, 2, 4, 4, 4, 4, 2, 4, 3, 2, 4, 4, 4, 4, 4, 8, 7, 3, 5, 6, 2, 3, 4, 4, 4, 4, 6, 5, 4, 7, 8, 2, 3, 4, 2, 1, 2, 2, 2, 2, 4, 3, 2, 4, 4, 2, 2, 2, 4, 4, 4, 3, 2, 4, 4, 4, 4, 2, 4, 3, 2, 4, 4

Offset

0,3

Comments

Counts the runs of consecutive ones in the binary representation of A190939. All positive integers appear in this sequence.

The first A006116(n) entries contain all integers from 1 to 2^(n-1). E.g. the first 67 entries contain all integers from 1 to 8. How often each integer appears is counted by the triangle A227961.

Links

Tilman Piesk, Table of n, a(n) for n = 0..2824

Formula

a(n) = A069010(A190939(n)).

Crossrefs

Cf. A190939 (subgroups of nimber addition interpreted as binary numbers).

Cf. A069010 (runs of 1s).

Cf. A227961 (corresponding triangle).

Sequence in context: A194822 A029405 A339383 * A029350 A166597 A302490

Adjacent sequences: A198257 A198258 A198259 * A198261 A198262 A198263

Keyword

nonn

Author

Tilman Piesk, Oct 22 2011

Extensions

Changed offset to 0 as in A190939 by Tilman Piesk, Jan 25 2012

Significant edit by Tilman Piesk, Aug 01 2013

Status

approved