0,3

phi = (1+sqrt(5))/2. Base phi is also called golden ratio base or phinary. In base phi, we can replace two consecutive 1's with a one in the column to the left; e.g., "011" = "100".

Table of n, a(n) for n=0..71.

Ron Knott, Base phi calculator.

a(3) = 3, because 3 in base phi = 10.1111 = 11.01 = 100.01.

Cf. A130600, A130601.

Sequence in context: A306253 A117629 A081165 * A087172 A262457 A286870

Adjacent sequences: A289746 A289747 A289748 * A289750 A289751 A289752

nonn,base

Gilian Breysens, Jul 11 2017

approved