cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-5 of 5 results.

A351174 Smallest antipalindromic natural number k such that k*A351172(n) is also antipalindromic.

Original entry on oeis.org

2, 2, 2, 10, 10, 52, 2, 12, 2, 10, 2, 2, 42, 883732, 178, 52, 38, 986352, 56, 3784, 42, 52, 2, 56, 738, 2, 12, 666, 2490513625334, 178, 2, 2254, 2, 10, 595318, 42, 2, 2, 2, 2, 48976179602, 170, 10426, 10, 722, 150, 170, 36622, 55501364, 10, 52, 204, 10, 170
Offset: 1

Views

Author

Jeffrey Shallit, Feb 04 2022

Keywords

Comments

Here "antipalindromic" means an element of A035928.

Examples

			For n = 6 we have a(n) = 52 and A351172(6) = 18, and 52*18 = 936 is antipalindromic.

Crossrefs

Cf. A351172, A035928.

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

Original entry on oeis.org

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

Views

Author

Jeffrey Shallit, Feb 04 2022

Keywords

Comments

"Antipalindromic" means a member of A035928.
This sequence and A351175 form a disjoint partition of A351172.

Links

Crossrefs

Cf. A035928, A351172, A351175.

A351173 Natural numbers that cannot be represented as the quotient of two antipalindromic numbers (A035928).

Original entry on oeis.org

2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 16, 22, 23, 25, 27, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 52, 53, 54, 55, 56, 57, 58, 60, 62, 64, 73, 76, 77, 79, 80, 81, 86, 88, 90, 91, 93, 95, 97, 98, 99, 100, 101, 103
Offset: 1

Views

Author

Jeffrey Shallit, Feb 04 2022

Keywords

Links

Crossrefs

Cf. A035928. Complement of A351172.

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

Original entry on oeis.org

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

Views

Author

Jeffrey Shallit, Feb 04 2022

Keywords

Comments

This sequence and A351176 form a disjoint partition of A351172.

Links

Crossrefs

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

Views

Author

Jeffrey Shallit, Feb 07 2022

Keywords

Examples

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

Links

Crossrefs

Cf. A002450, A035928, A351172, A351176.
Showing 1-5 of 5 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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