

A154391


Terms of A123466 which have a onetoone correspondence between every run of 1's and 0's of the same length.


1



2, 10, 12, 38, 42, 44, 50, 52, 56, 142, 150, 154, 166, 170, 172, 178, 180, 184, 202, 204, 210, 212, 226, 232, 240, 542, 558, 570, 598, 602, 614, 618, 620, 654, 662, 666, 678, 682, 684, 690, 692, 696, 714, 716, 722, 724, 738, 744, 752, 796, 806, 810, 812, 818
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


COMMENTS

Contribution from Leroy Quet, Aug 01 2009: (Start)
Each term of the sequence, when written in binary, has an even number of digits, since the same number of 0's occur in each binary representation as the number of 1's.
Each term of the sequence is even. (End)


LINKS

Lars Blomberg, Table of n, a(n) for n = 1..10000


EXAMPLE

150 in binary is 10010110. There is a run of one 1, followed by a run of two 0's, followed by a run of one 1, followed by a run of one 0, followed by a run of two 1's, followed finally by a run of one 0. So the runs of 0's are of lengths (2,1,1), and the runs of 1's are of the lengths (1,1,2). Since (2,1,1) is a permutation of (1,1,2), then 150 is in the sequence. [From Leroy Quet, Aug 01 2009]


CROSSREFS

Cf. A123466.
Sequence in context: A055701 A176978 A186630 * A035928 A014486 A166751
Adjacent sequences: A154388 A154389 A154390 * A154392 A154393 A154394


KEYWORD

base,nonn


AUTHOR

Ray G. Opao, Jan 08 2009


EXTENSIONS

Extended, terms a(8)a(11). Leroy Quet, Aug 01 2009
More terms from Lars Blomberg, Nov 07 2015


STATUS

approved



