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

1,6

Links

Table of n, a(n) for n=1..75.

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

For n = 10 the corresponding term A305468(10) equals 19, and both a(10) = 27 and 27*19 = 513 are binary palindromes.

Crossrefs

Cf. A006995, A305468.

Sequence in context: A091084 A016610 A356551 * A141707 A329593 A263490

Adjacent sequences: A305467 A305468 A305469 * A305471 A305472 A305473

Keyword

nonn,base

Author

Jeffrey Shallit, Jun 02 2018

Status

approved