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
Keywords
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
Comments