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A057148 Palindromes only using 0 and 1 (i.e. base 2 palindromes). 17
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; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

(* 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 fewer 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]

CROSSREFS

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.

Sequence in context: A072001 A099821 A193415 * A076289 A117697 A091366

Adjacent sequences:  A057145 A057146 A057147 * A057149 A057150 A057151

KEYWORD

base,nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Aug 14 2000

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Last modified February 17 21:13 EST 2012. Contains 206085 sequences.