id:A147755 - OEIS Search Results

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a(n) = the largest integer that, when represented in binary, occurs at least twice as a substring in the binary representation of n.

+0
2

1, 0, 1, 1, 3, 0, 1, 2, 1, 1, 1, 3, 7, 0, 1, 2, 1, 2, 5, 2, 3, 1, 1, 2, 3, 3, 3, 7, 15, 0, 1, 2, 1, 4, 2, 2, 3, 2, 2, 10, 5, 2, 5, 3, 7, 1, 1, 2, 3, 2, 5, 6, 3, 3, 3, 3, 3, 7, 7, 15, 31, 0, 1, 2, 1, 4, 2, 2, 3, 4, 9, 2, 2, 4, 2, 3, 7, 2, 2, 2, 2, 10, 21, 5, 5, 2, 2, 5, 11, 3, 5, 7, 15, 1, 1, 2, 3, 4, 2, 6, 3, 2 (list; graph; listen)

	OFFSET	`3,5`
	COMMENT	`The substrings (each equal to the binary representation of a(n)) may overlap in the binary representation of n.`
	LINKS	`Leroy Quet, Home Page (listed in lieu of email address)`
	EXAMPLE	`21 in binary is 10101. 101 (5 in decimal) occurs twice in 10101: (101)01 and 10(101). Since no larger integer (when represented in binary) occurs more than once within 10101, then a(21) = 5.`
	CROSSREFS	`A147756` `Sequence in context: A097610 A161556 A129555 this_sequence A136748 A049765 A014573` `Adjacent sequences: A147752 A147753 A147754 this_sequence A147756 A147757 A147758`
	KEYWORD	`base,nonn`
	AUTHOR	`Leroy Quet Nov 11 2008`
	EXTENSIONS	`Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Nov 14 2008`

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

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