A305470 Smallest binary palindrome whose product with A305468(n) gives a binary palindrome.
1, 1, 1, 1, 1, 3, 5, 1, 1, 27, 1, 1, 1, 1, 5, 3, 1, 1, 63, 3, 9, 7, 1, 1, 765, 1, 3, 11253, 45, 1, 3, 1, 27, 1, 1, 21, 5, 1, 93, 1, 1, 27, 15, 39513, 7, 1, 3, 21, 45, 1, 3, 33, 63, 93, 3, 1, 153, 1, 7, 5, 3, 255, 3, 1, 5, 13299, 15, 1, 255, 3, 17, 15, 1, 1, 51
Offset: 1
Examples
For n = 10 the corresponding term A305468(10) equals 19, and both a(10) = 27 and 27*19 = 513 are binary palindromes.
Links
- 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.