login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

%I

%S 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,

%T 19,17,53,27,25,29,15,170,84,86,82,40,90,44,46,74,36,38,34,16,106,52,

%U 54,50,24,58,28,30,341,171,169,173,87,165,83,81,181,91,89,93,47,149,75

%N 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.

%C A permutation of the positive integers

%e 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.

%Y Inverse of A057336.

%K nonn,base

%O 1,2

%A _Alex Fink_, Aug 27 2000

%E More terms from _David W. Wilson_, May 12 2001

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 25 06:30 EDT 2021. Contains 348239 sequences. (Running on oeis4.)