A351172 Natural numbers that can be written as the quotient of two antipalindromic numbers (A035928).

1, 5, 6, 15, 17, 18, 19, 20, 21, 24, 26, 28, 51, 59, 61, 63, 65, 66, 67, 68, 69, 70, 71, 72, 74, 75, 78, 82, 83, 84, 85, 87, 89, 92, 94, 96, 102, 106, 116, 120, 191, 195, 203, 211, 219, 221, 231, 233, 235, 239, 243, 245, 247, 249, 251, 253, 255, 257, 258, 260

Offset

1,2

Links

Table of n, a(n) for n=1..60.

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

18 belongs to the sequence because 18 = 936/52, and the base-2 representation of 936 is 1110101000, while the base-2 representation of 52 is 110100, both antipalindromes.

Crossrefs

Cf. A035928. Complement of A351173.

Sequence in context: A060724 A064949 A160109 * A191213 A121847 A030533

Adjacent sequences: A351169 A351170 A351171 * A351173 A351174 A351175

Keyword

nonn,base

Author

Jeffrey Shallit, Feb 04 2022

Status

approved