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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
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 26 13:25 EDT 2021. Contains 347668 sequences. (Running on oeis4.)