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

Author

Jeffrey Shallit, Jun 02 2018

Keywords

• nonn
• base

Examples

			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.
		

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.

Crossrefs

Cf. A006995, A305469, A305470.