A351176 -id:A351176 - cp's OEIS frontend

A351175 Natural numbers k such that there are infinitely many representations k = A/B with A, B in A035928.

1, 6, 15, 18, 19, 20, 24, 28, 51, 59, 61, 63, 66, 67, 68, 71, 72, 74, 75, 78, 82, 83, 84, 87, 94, 96, 120, 191, 195, 203, 211, 231, 235, 243, 247, 251, 253, 255, 258, 260, 262, 263, 264, 265, 266, 267, 271, 272, 274, 275, 278, 279, 285, 288, 292, 293, 298, 299

Offset: 1

Jeffrey Shallit, Feb 04 2022

This sequence and A351176 form a disjoint partition of A351172.

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.

Cf. A035928, A351172, A351176.

A351325 Numbers k with exactly one solution to the equation A = B*k, where A and B are antipalindromic numbers (members of A035928).

Original entry on oeis.org

5, 21, 26, 69, 85, 89, 92, 102, 106, 116, 219, 221, 233, 239, 245, 249, 261, 269, 276, 284, 291, 301, 306, 319, 323, 324, 333, 341, 344, 356, 361, 364, 369, 426, 434, 460, 468, 488, 843, 869, 879, 919, 925, 971, 981, 997, 1015, 1042, 1044, 1046, 1052, 1053

Offset: 1

Jeffrey Shallit, Feb 07 2022

			For k = 233 we have A = 8532926, B = 36622, which is the only solution in antipalindromes.

James Haoyu Bai, Joseph Meleshko, Samin Riasat, and Jeffrey Shallit, Quotients of Palindromic and Antipalindromic Numbers, arXiv:2202.13694 [math.NT], 2022.

Cf. A002450, A035928, A351172, A351176.

cp's OEIS Frontend

A351175 Natural numbers k such that there are infinitely many representations k = A/B with A, B in A035928.

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