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Runs of 1s in binary strings corresponding to subgroups of nimber addition.
3

%I #29 Aug 02 2013 11:38:12

%S 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,

%T 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,

%U 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

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

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

%C 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.

%H Tilman Piesk, <a href="/A198260/b198260.txt">Table of n, a(n) for n = 0..2824</a>

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

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

%Y Cf. A069010 (runs of 1s).

%Y Cf. A227961 (corresponding triangle).

%K nonn

%O 0,3

%A _Tilman Piesk_, Oct 22 2011

%E Changed offset to 0 as in A190939 by _Tilman Piesk_, Jan 25 2012

%E Significant edit by _Tilman Piesk_, Aug 01 2013