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Smallest palindromic number of 5 digits in two bases differing by n.
16

%I #16 Aug 22 2015 00:49:12

%S 2293,5001,15731,23341,31279,90209,94249,131766,221866,380809,589816,

%T 499617,661753,1219745,999503,1456663,1722526,2376918,2552395,2450410,

%U 2983858,4317391,5582689,4490153,4934907,6298020,7410454,8531146,9232273,11891740,11309998

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

%C 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.

%H Chai Wah Wu, <a href="/A216899/b216899.txt">Table of n, a(n) for n = 1..1000</a>

%e 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.

%e 15731 is 35653 in base 8 and 10901 in base 11. - _Chai Wah Wu_, Aug 20 2015

%Y 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.

%K nonn,base

%O 1,1

%A _James G. Merickel_, Sep 19 2012

%E More terms and corrected a(3) and a(10) by _Chai Wah Wu_, Aug 20 2015

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Last modified September 23 00:23 EDT 2024. Contains 376140 sequences. (Running on oeis4.)