A057337 1) Write the Zeckendorf expression of n; 2) Remove initial 1 and append a final 0; 3) Replace numbers in this as follows: 0 -> 1, 010 -> 2, 01010 -> 3, 0101010 -> 4...; 4) Find a binary number with run lengths from step 3 (starting with 1); 5) The term a(n) is the decimal equivalent of this binary number.

1, 2, 5, 3, 10, 4, 6, 21, 11, 9, 13, 7, 42, 20, 22, 18, 8, 26, 12, 14, 85, 43, 41, 45, 23, 37, 19, 17, 53, 27, 25, 29, 15, 170, 84, 86, 82, 40, 90, 44, 46, 74, 36, 38, 34, 16, 106, 52, 54, 50, 24, 58, 28, 30, 341, 171, 169, 173, 87, 165, 83, 81, 181, 91, 89, 93, 47, 149, 75

Offset

1,2

Comments

A permutation of the positive integers

Links

Table of n, a(n) for n=1..69.

Example

a(18) = 26 because: 1) the Zeckendorf expression for 18 is 101000 (13 + 5) 2) this becomes 010000 3) 010 -> 2, 0 -> 1, 0 -> 1, 0 -> 1 4) 2 ones, 1 zero, 1 one, 1 zero: 11010 5) the binary number 11010 in decimal is 26.

Crossrefs

Inverse of A057336.

Sequence in context: A305126 A044043 A133128 * A163233 A096666 A191855

Adjacent sequences: A057334 A057335 A057336 * A057338 A057339 A057340

Keyword

nonn,base

Author

Alex Fink, Aug 27 2000

Extensions

More terms from David W. Wilson, May 12 2001

Status

approved