A057336 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.

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

Offset: 1

Author

Alex Fink, Aug 27 2000

Keywords

• nonn

Comments

A permutation of the positive integers.

Examples

			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.

Extensions

More terms from David W. Wilson, May 12 2001