A144793 - OEIS

A144793

Consider the runs of 0's in the binary representation of n, each of these runs being on the edge of the binary representation n and/or being bounded by 1's. Consider also the runs of 1's in the binary representation of n, each of these runs being on the edge of the binary representation n and/or being bounded by 0's. A positive integer n is included in this sequence if the length of the shortest such run of 0's in binary n equals the length of the shortest such run of 1's in binary n.

2, 5, 10, 11, 12, 13, 18, 20, 21, 22, 23, 26, 29, 34, 37, 38, 40, 41, 42, 43, 44, 45, 46, 47, 50, 51, 52, 53, 56, 58, 61, 66, 69, 70, 74, 75, 77, 78, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 98, 101, 103, 104, 105, 106, 107, 109, 114, 115, 116, 117

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OFFSET

1,1

COMMENTS

This sequence contains those positive integers m where A144789(m) = A144790(m).

LINKS

Table of n, a(n) for n=1..66.

EXAMPLE

1564 in binary is 11000011100. The runs of 0's are like this: 11(0000)111(00). The runs of 1's are like this: (11)0000(111)00. The shortest run of 0's contains two 0's. The shortest run of 1's contains two 1's. Since both the shortest run of 0's and the shortest run of 1's are of the same length, 1564 is included in this sequence.

CROSSREFS

Cf. A090050, A144789, A144790.

Sequence in context: A194350 A182179 A123466 * A140707 A257086 A136817

Adjacent sequences: A144790 A144791 A144792 * A144794 A144795 A144796

KEYWORD

base,nonn

AUTHOR

Leroy Quet, Sep 21 2008, Oct 07 2008

EXTENSIONS

Extended by Ray Chandler, Nov 04 2008

STATUS

approved