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A147561 Number of representations of n in the Fibonacci-squared base system. The columns are ...,64,29,9,4,1,1 = ..8^2,5^2,3^2,2^2,1^2,1^2 i.e. the Fibonacci numbers A000045 squared. The 'digits' are 0,1 or 2. 0
2, 3, 2, 2, 2, 3, 2, 2, 3, 5, 5, 3, 2, 2, 3, 2, 2, 3, 5, 5, 3, 2, 2, 3, 3, 4, 5, 5, 4, 3, 3, 2, 2, 3, 5, 5, 3, 2, 2, 3, 2, 2, 3, 5, 5, 3, 2, 2, 3, 3, 4, 5, 5, 4, 3, 3, 2, 2, 3, 5, 5, 3, 2, 3, 5, 5, 4, 5, 7, 8, 5, 4, 5, 8, 7, 5, 4, 5, 5, 3, 2, 3, 5, 5, 3, 2, 2, 3, 3, 4, 5, 5, 4, 3, 3, 2, 2, 3, 5, 5 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Note there are two columns labelled 1.

LINKS

R. Knott, Fibonacci Bases: The Fibonacci^2 Base System

EXAMPLE

a(2)=3 since 2 is 02, 20 and 11 using both columns labelled 1; a(10)=5 because 10 = 9+1 with 2 Fib-sq reps 1010,1001; 10=2x4+2 with 3 Fib-sq reps 220, 211 and 202 so there are 5 Fib-sq reps for 10.

CROSSREFS

Sequence in context: A086410 A185049 A186181 * A103266 A072814 A205717

Adjacent sequences:  A147558 A147559 A147560 * A147562 A147563 A147564

KEYWORD

nonn,base

AUTHOR

Ron Knott (maths(AT)ronknott.com), Nov 07 2008

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Last modified February 12 21:05 EST 2012. Contains 205433 sequences.