A216899 Smallest palindromic number of 5 digits in two bases differing by n.

2293, 5001, 15731, 23341, 31279, 90209, 94249, 131766, 221866, 380809, 589816, 499617, 661753, 1219745, 999503, 1456663, 1722526, 2376918, 2552395, 2450410, 2983858, 4317391, 5582689, 4490153, 4934907, 6298020, 7410454, 8531146, 9232273, 11891740, 11309998

Offset

1,1

Comments

Part of a collection. See comments sections of A216840 and A216841. Smaller of base pairs are 5, 6, 7, 8, 8, 10, 10, 11, 12, 14. The A171*** c-refs are to various record multi-base palindromes.

Links

Chai Wah Wu, Table of n, a(n) for n = 1..1000

Example

2293 is 33133 in base 5 and is 14341 in base 6.  No smaller number is a 5-digit palindrome in both of two bases differing by 1.
15731 is 35653 in base 8 and 10901 in base 11. - Chai Wah Wu, Aug 20 2015

Crossrefs

Cf. A171701, A171702, A171703, A171704, A171705, A171706, A171740, A171741, A171742, A171775, A216840, A216841, A216843, A216900, A216901, A216902, A216903, A216904, A216905, A216906, A216907, A216908, A216909, A216910.

Sequence in context: A198146 A020404 A180454 * A023323 A163513 A349085

Adjacent sequences: A216896 A216897 A216898 * A216900 A216901 A216902

Keyword

nonn,base

Author

James G. Merickel, Sep 19 2012

Extensions

More terms and corrected a(3) and a(10) by Chai Wah Wu, Aug 20 2015

Status

approved