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A305371 The binary expansions of b(n+1) and b(n) are required to have 1's in common at exactly the positions where a(n) has a 1 in its binary expansion, where b() is A305369. 1
1, 2, 0, 4, 1, 8, 0, 6, 1, 16, 0, 10, 1, 20, 0, 32, 1, 12, 0, 18, 1, 36, 0, 24, 1, 34, 0, 28, 1, 64, 0, 14, 1, 48, 0, 66, 1, 40, 0, 22, 1, 72, 0, 38, 1, 80, 0, 42, 1, 68, 0, 26, 1, 96, 0, 30, 1, 128, 0, 44, 1, 82, 0, 132, 1, 50, 0, 76, 1, 130, 0, 52, 1, 74, 0, 144, 1, 46, 0, 192, 1, 54, 0, 136, 1, 70, 0, 56, 1, 134 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The definition here is a consequence (or restatement) of the definition of A305369. The connection with A109812 is at present only an empirical observation.

LINKS

N. J. A. Sloane, Table of n, a(n) for n = 1..10000

N. J. A. Sloane, Maple program

FORMULA

Empirical: For k >= 0, a(4k+1)=1, a(4k+3)=0; for k >= 1, a(2k)=2*A109812(k).

EXAMPLE

a(8) = 6 = 110_2, which expresses the fact that A305369(8) = 6 = 110_2 and A303369(9) = 7 = 111_2 have binary expensions whose common 1's are 110_2.

CROSSREFS

Cf. A305369, A109812.

Sequence in context: A239004 A168036 A217930 * A177256 A199891 A339417

Adjacent sequences:  A305368 A305369 A305370 * A305372 A305373 A305374

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jun 02 2018

STATUS

approved

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Last modified September 19 17:19 EDT 2021. Contains 347564 sequences. (Running on oeis4.)