A358866 Positive integers expressible as a quotient of two terms of A014486.

1, 3, 5, 6, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89

Offset

1,2

Comments

It's easy to see that 2^i is not so expressible, for i >= 1. One can prove that, for example, 7 is not so expressible by considering the intervals in which terms of A014486 lie. Many numbers can be proved inexpressible by (for example) restricting numerator and denominator to be of even length, not of the form (10)*100(0|1)*, etc.

Links

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

Example

3 is in the sequence since 228 = 11100100_2 is balanced and so is 3*228 = 684 = 1010101100_2.

Crossrefs

Cf. A014486.

Sequence in context: A092835 A335403 A327433 * A167522 A001838 A285785

Adjacent sequences: A358863 A358864 A358865 * A358867 A358868 A358869

Keyword

nonn,base,more

Author

Jeffrey Shallit, Dec 03 2022

Status

approved