A305470 - OEIS

%I #17 Jan 12 2024 07:56:03

%S 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,

%T 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,

%U 153,1,7,5,3,255,3,1,5,13299,15,1,255,3,17,15,1,1,51

%N Smallest binary palindrome whose product with A305468(n) gives a binary palindrome.

%H James Haoyu Bai, Joseph Meleshko, Samin Riasat, and Jeffrey Shallit, <a href="https://arxiv.org/abs/2202.13694">Quotients of Palindromic and Antipalindromic Numbers</a>, arXiv:2202.13694 [math.NT], 2022.

%H James Haoyu Bai, Joseph Meleshko, Samin Riasat, and Jeffrey Shallit, <a href="http://math.colgate.edu/~integers/w96/w96.pdf">Quotients of Palindromic and Antipalindromic Numbers</a>, INTEGERS 22 (2022), #A96.

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

%Y Cf. A006995, A305468.

%K nonn,base

%O 1,6

%A _Jeffrey Shallit_, Jun 02 2018