id:A057889 - OEIS Search Results

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Bit-reverse of n, including as many leading as trailing zeros.

+0
4

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 12, 11, 14, 15, 16, 17, 18, 25, 20, 21, 26, 29, 24, 19, 22, 27, 28, 23, 30, 31, 32, 33, 34, 49, 36, 41, 50, 57, 40, 37, 42, 53, 52, 45, 58, 61, 48, 35, 38, 51, 44, 43, 54, 59, 56, 39, 46, 55, 60, 47, 62, 63, 64, 65, 66, 97, 68, 81, 98, 113 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`A permutation of integers consisting only of fixed points and pairs. a(n)=n when n is a binary palindrome (including as many leading as trailing zeros), otherwise a(n)=A003010(n) (i.e. n has no axis of symmetry). A057890 gives the palindromes (fixed points, akin to A006995) while A057891 gives the "antidromes" (pairs).`
	FORMULA	`a(n) = A030101[A000265[n]]*A006519[n] (with a(0)=0)`
	EXAMPLE	`a(6)=6 because 0110 is a palindrome, but a(11)=13 because 1011 reverses into 1101`
	CROSSREFS	`A030101, A000265, A006519, A006995, A057890, A057891.` `Sequence in context: A061729 A033621 A108548 this_sequence A110029 A023779 A050724` `Adjacent sequences: A057886 A057887 A057888 this_sequence A057890 A057891 A057892`
	KEYWORD	`easy,nonn,base`
	AUTHOR	`Marc LeBrun (mlb(AT)well.com), Sep 25 2000`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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