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Search: id:A057148
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| A057148 |
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Palindromes only using 0 and 1 (i.e. base 2 palindromes). |
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+0
14
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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
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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(* get NextPalindrome from A029965 *) Select[ NestList[ NextPalindrome, 0, 11110], Max(AT) IntegerDigits(AT)# < 2 &] (* Robert G. Wilson v *)
If one takes a number from this sequence that has less than 10 digits and squares it, then the result will also be a palindrome. [From Dmitry Kamenetsky (dkamen(AT)rsise.anu.edu.au), Oct 21 2008]
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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. A118594, A118595, A118596, A118597, A118598, A118599, A118600, A002113.
Adjacent sequences: A057145 A057146 A057147 this_sequence A057149 A057150 A057151
Sequence in context: A043036 A072001 A099821 this_sequence A076289 A117697 A091366
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KEYWORD
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base,nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Aug 14 2000
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