A351176 Natural numbers k such that k = A/B has at least one solution in antipalindromic numbers A, B, but only finitely many solutions.

5, 17, 21, 26, 65, 69, 70, 85, 89, 92, 102, 106, 116, 219, 221, 233, 239, 245, 249, 257, 261, 269, 273, 276, 284, 290, 291, 294, 301, 306, 307, 319, 323, 324, 333, 341, 344, 356, 361, 364, 369, 392, 398, 426, 434, 460, 468, 488, 843, 869, 879, 919, 925, 971

Offset: 1

Author

Jeffrey Shallit, Feb 04 2022

Keywords

• nonn
• base

Comments

"Antipalindromic" means a member of A035928.

This sequence and A351175 form a disjoint partition of A351172.

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.

Crossrefs

Cf. A035928, A351172, A351175.