A095734 - OEIS

A095734

Asymmetricity-index for Zeckendorf-expansion A014417(n) of n.

0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 3, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 3, 1, 0, 1, 0, 2, 2, 1, 2, 1, 3, 2, 1, 3, 3, 2, 2, 1, 3, 1, 0, 3, 2, 4, 1, 0, 2, 2, 1, 2, 1, 3, 1, 0, 2, 2, 1, 2, 1, 3, 3, 2, 1, 0, 2, 2, 1, 3, 1, 0, 3, 2, 4, 2, 1, 3, 1, 0, 1, 0, 2, 2, 1, 2, 1, 3, 2, 1, 3, 3, 2, 2, 1, 3

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OFFSET

0,8

COMMENTS

Least number of flips of "fibits" (changing either 0 to 1 or 1 to 0 in Zeckendorf-expansion A014417(n)) so that a palindrome is produced.

LINKS

Table of n, a(n) for n=0..104.

EXAMPLE

The integers 0 and 1 look as '0' and '1' also in Fibonacci-representation,

and being palindromes, a(0) and a(1) = 0.

2 has Fibonacci-representation '10', which needs a flip of other 'fibit',

that it would become a palindrome, thus a(2) = 1. Similarly 3 has representation