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A289749 Number of ways to write n in base phi. 0
1, 1, 2, 3, 3, 5, 5, 5, 8, 8, 8, 5, 10, 13, 12, 12, 13, 10, 7, 15, 18, 21, 16, 20, 20, 16, 21, 18, 15, 7, 17, 25, 27, 27, 34, 29, 20, 32, 32, 32, 20, 29, 34, 27, 27, 25, 17, 9, 24, 32, 40, 33, 45, 45, 39, 55, 50, 45, 24, 40, 52, 48, 48, 52, 40, 24, 45, 50, 55, 39, 45, 45 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

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".

LINKS

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

Ron Knott, Base phi calculator.

EXAMPLE

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

CROSSREFS

Cf. A130600, A130601.

Sequence in context: A306253 A117629 A081165 * A087172 A262457 A286870

Adjacent sequences:  A289746 A289747 A289748 * A289750 A289751 A289752

KEYWORD

nonn,base

AUTHOR

Gilian Breysens, Jul 11 2017

STATUS

approved

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Last modified October 19 04:40 EDT 2019. Contains 328211 sequences. (Running on oeis4.)