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Search: id:A088882
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| A088882 |
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Nontrivial palindromes in base 10 (i.e. palindromes that are not RepDigits such as 3, 111, 22222, or 888888888). |
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1
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| 101, 121, 131, 141, 151, 161, 171, 181, 191, 202, 212, 232, 242, 252, 262, 272, 282, 292, 303, 313, 323, 343, 353, 363, 373, 383, 393, 404, 414, 424, 434, 454, 464, 474, 484, 494, 505, 515, 525, 535, 545, 565, 575, 585, 595, 606, 616, 626, 636, 646, 656
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The early portion of this sequence appears to be very similar to the early portions of two other sequences. Note that a(n) = A046075(n) for n = 1..81. A046075 deals with nontrivial undulants of 3 digits or more which by definition excludes RepDigits, but which includes nonpalindromic terms when 4 digit numbers are reached. For example a(82) = 1001 but A046075(82) = 1010. Note also that a(n) = A050783(n+10) for n = 1..81. A050783 deals with palindromes that contain no consecutive pairs of equal digits, so although A050783 excludes RepDigits, it includes the single-digit palindromes and excludes a large number of the palindromes in this sequence (such as, for example, all the 4-digit nontrivial palindromes and larger nontrivial palindromes such as 22022 or 61116). A050783(92) = 10101. Note that in the first 65534 values of n there are 754 palindromes, 712 nontrivial palindromes and 42 RepDigits.
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EXAMPLE
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a(4) = 141 because 141 is the fourth member of the sequence of base-10 palindromes (A002113) that does not appear in the sequence of RepDigits (A010785).
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CROSSREFS
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Cf. A002113 (Base-10 Palindromes), A010785 (RepDigits), A046075 (Nontrivial Undulants), A050783 (Palindromes With No Pair of Consecutive Equal Digits).
Sequence in context: A038370 A084430 A046075 this_sequence A135602 A095635 A060916
Adjacent sequences: A088879 A088880 A088881 this_sequence A088883 A088884 A088885
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KEYWORD
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base,nonn
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AUTHOR
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Chuck Seggelin (barkeep(AT)plastereddragon.com), Oct 21 2003
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