id:A160383 - OEIS Search Results

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Number of 3's in base 4 representation of n.

+0
1

0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0 (list; graph; listen)

	OFFSET	`0,16`
	FORMULA	`Recurrence relation: a(0) = 0, a(4m+3) = 1+a(m), a(4m) = a(4m+1) = a(4m+2) = a(m).` `Generating function: 1/(1-z) * SUM( z^(34^m)(1 - z^(4^m) )/( 1 - z^(4^(m+1)) ), m >= 0 ).` `Morphism: 0, j -> j,j,j,j+1; e.g., 0 -> 0001 -> 0001000100011112 -> ...`
	CROSSREFS	`Sequence in context: A024326 A133698 A093956 this_sequence A101436 A056170 A059483` `Adjacent sequences: A160380 A160381 A160382 this_sequence A160384 A160385 A160386`
	KEYWORD	`nonn`
	AUTHOR	`Frank Ruskey (ruskey(AT)cs.uvic.ca), Jun 05 2009`

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.

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