id:A057336 - OEIS Search Results

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1) Write n in binary; 2) Find run lengths of this expression; 3) Replace these as follows: 1 -> 0, 2 -> 010, 3 -> 01010, 4 -> 0101010...; 4) Remove final 0 and append an initial 1; 5) The term a(n) is the number with the obtained Zeckendorf expression.

+0
2

1, 2, 4, 6, 3, 7, 12, 17, 10, 5, 9, 19, 11, 20, 33, 46, 28, 16, 27, 14, 8, 15, 25, 51, 31, 18, 30, 53, 32, 54, 88, 122, 75, 45, 74, 43, 26, 44, 72, 38, 23, 13, 22, 40, 24, 41, 67, 135, 83, 50, 82, 48, 29, 49, 80, 140, 86, 52, 85, 142, 87, 143, 232, 321, 198, 121, 197, 119 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`A permutation of the positive integers.`
	EXAMPLE	`a(24) = 51 because: 1) 24 in binary is 11000 2) the run lengths are 2, 3 3) 01001010 4) 10100101 5) the Zeckendorf expression of 51 is 10100101 because 51 = 34 + 13 + 3 + 1`
	CROSSREFS	`Inverse of A057337.` `Sequence in context: A088178 A140645 A117532 this_sequence A115316 A089088 A073899` `Adjacent sequences: A057333 A057334 A057335 this_sequence A057337 A057338 A057339`
	KEYWORD	`nonn`
	AUTHOR	`Alex Fink (fink(AT)cadvision.com), Aug 27 2000`
	EXTENSIONS	`More terms from David W. Wilson (davidwwilson(AT)comcast.net), May 12 2001`

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Last modified November 21 14:49 EST 2008. Contains 150807 sequences.

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