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A216840
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Smallest palindromic number of 3 digits in two bases differing by n.
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16
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46, 26, 121, 109, 157, 211, 209, 197, 257, 307, 381, 576, 463, 676, 601, 701, 757, 842, 929, 1086, 1123, 1445, 1333, 1717, 1297, 1801, 1522, 2092, 1765, 2393, 2026, 2026, 2305, 2696, 2501, 2701, 2757, 2971, 3133, 3600, 3421, 3718, 4411, 3845, 4551, 4031, 4691
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history;
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internal format)
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OFFSET
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1,1
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COMMENTS
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This is one of a collection of sequences of doubly palindromic numbers of same lengths in each of two bases. The lengths go from 2 through 17, excluding 16 (only one term available at present), and the order of the first two of these are switched in terms of their A-numbers. These are the A216*** cross-references. The 171*** c-refs are to a variety of record multiple-base palindromes. Larger comments are to be found -- will generally be -- in the 2-palindrome sequence. The smaller bases of a pair here are (in sequence) 4, 3, 6, 5, 6, 7, 6, 6, 7, 7.
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LINKS
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EXAMPLE
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The first entry here, 46 in base 10, is represented as 222 in base 4 and 141 in base 5. The 2nd entry here, 26 in base 10, is represented as 222 in base 3 and 101 in base 5. The next is then the smallest in bases that differ by 3, bases 6 and 9 by what is in the comment.
a(3) = 121 is 232 in base 7, a(5) = 157 is 313 in base 7 and 111 in base 12, a(6) = 211 is 323 in base 8 and 111 in base 14. - Chai Wah Wu, Aug 19 2015
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CROSSREFS
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Cf. A171701, A171702, A171703, A171704, A171705, A171706, A171740, A171741, A171742, A171775, A216841, A216843, A216899, A216900, A216901, A216902, A216903, A216904, A216905, A216906, A216907, A216908, A216909, A216910.
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KEYWORD
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nonn,base
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AUTHOR
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EXTENSIONS
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More terms and corrected a(3), a(5) and a(6) by Chai Wah Wu, Aug 19 2015
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STATUS
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approved
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