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A057148
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Palindromes only using 0 and 1 (i.e., base 2 palindromes).
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26
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0, 1, 11, 101, 111, 1001, 1111, 10001, 10101, 11011, 11111, 100001, 101101, 110011, 111111, 1000001, 1001001, 1010101, 1011101, 1100011, 1101011, 1110111, 1111111, 10000001, 10011001, 10100101, 10111101, 11000011, 11011011
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OFFSET
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1,3
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COMMENTS
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If one takes a number from this sequence that has fewer than 10 digits and squares it, then the result will also be a palindrome. - Dmitry Kamenetsky, Oct 21 2008
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LINKS
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Ray Chandler, Table of n, a(n) for n = 1..10000
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MATHEMATICA
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(* get NextPalindrome from A029965 *)
Select[ NestList[ NextPalindrome, 0, 11110], Max(AT) IntegerDigits(AT)# < 2 &] (* Robert G. Wilson v *)
Select[FromDigits/@Tuples[{0, 1}, 8], IntegerDigits[#]==Reverse[ IntegerDigits[ #]]&] (* Harvey P. Dale, Apr 20 2015 *)
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PROG
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(Sage)
[int(n.binary()) for n in (0..220) if Word(n.digits(2)).is_palindrome()] # Peter Luschny, Sep 13 2018
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CROSSREFS
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Cf. A006995 for sequence translated from binary to decimal. A016116 for number of terms of sequence with n+1 binary digits (0 taken to have no digits).
Cf. A002113, A118594, A118595, A118596, A118597, A118598, A118599, A118600.
Sequence in context: A193415 A263609 A264406 * A076289 A247647 A240602
Adjacent sequences: A057145 A057146 A057147 * A057149 A057150 A057151
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KEYWORD
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base,nonn
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AUTHOR
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Henry Bottomley, Aug 14 2000
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STATUS
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approved
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