id:A147561 - OEIS Search Results

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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
1

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; listen)

	OFFSET	`1,1`
	COMMENT	`Note there are two columns labelled 1.`
	LINKS	`R. Knott, Fibonacci Bases: The Fibonacci²Base 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: A097051 A078832 A086410 this_sequence A103266 A072814 A145390` `Adjacent sequences: A147558 A147559 A147560 this_sequence A147562 A147563 A147564`
	KEYWORD	`nonn`
	AUTHOR	`Ron Knott (maths(AT)ronknott.com), Nov 07 2008`

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.

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