cp's OEIS Frontend

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.

%I A057337 #10 Aug 18 2020 15:42:15
%S A057337 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 A057337 19,17,53,27,25,29,15,170,84,86,82,40,90,44,46,74,36,38,34,16,106,52,
%U A057337 54,50,24,58,28,30,341,171,169,173,87,165,83,81,181,91,89,93,47,149,75
%N 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.
%C A057337 A permutation of the positive integers
%e A057337 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 A057337 Inverse of A057336.
%K A057337 nonn,base
%O A057337 1,2
%A A057337 _Alex Fink_, Aug 27 2000
%E A057337 More terms from _David W. Wilson_, May 12 2001