A305468 Positive integers that can be expressed as the quotient of two binary palindromic numbers (that is, terms of A006995).

1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 27, 31, 33, 39, 43, 45, 51, 53, 55, 57, 61, 63, 65, 71, 73, 77, 79, 83, 85, 91, 93, 95, 99, 107, 109, 117, 119, 121, 127, 129, 133, 143, 149, 151, 153, 157, 159, 163, 165, 171, 173, 179, 181, 187, 189, 191, 195, 203, 205

Offset

1,2

Links

Joseph Meleshko, Table of n, a(n) for n = 1..1271

James Haoyu Bai, Joseph Meleshko, Samin Riasat, and Jeffrey Shallit, Quotients of Palindromic and Antipalindromic Numbers, arXiv:2202.13694 [math.NT], 2022.

James Haoyu Bai, Joseph Meleshko, Samin Riasat, and Jeffrey Shallit, Quotients of Palindromic and Antipalindromic Numbers, INTEGERS 22 (2022), #A96.

Example

79 is in the sequence because 888987 and 11253 are both binary palindromes, and 79 = 888987/11253.  These are in fact the smallest such numbers for 79.

Crossrefs

Cf. A006995, A305469, A305470.

Sequence in context: A230104 A093031 A378175 * A143452 A376342 A372293

Adjacent sequences: A305465 A305466 A305467 * A305469 A305470 A305471

Keyword

nonn,base

Author

Jeffrey Shallit, Jun 02 2018

Status

approved