A351176 - OEIS

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A351176 - OEIS

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A351176

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

2

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

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OFFSET

1,1

COMMENTS

"Antipalindromic" means a member of A035928.

This sequence and A351175 form a disjoint partition of A351172.

LINKS

Table of n, a(n) for n=1..54.

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.

Sequence in context: A038470 A043003 A246329 * A211423 A211426 A224513

Adjacent sequences: A351173 A351174 A351175 * A351177 A351178 A351179

KEYWORD

nonn,base

AUTHOR

Jeffrey Shallit, Feb 04 2022

STATUS

approved