id:A160381 - OEIS Search Results

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Number of 1's in base 4 representation of n.

+0
1

0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 1, 2, 3, 2, 2, 1 (list; graph; listen)

	OFFSET	`0,6`
	FORMULA	`Recurrence relation: a(0) = 0, a(4m+1) = 1+a(m), a(4m) = a(4m+2) = a(4m+3) = a(m).` `Generating function: 1/(1-z) * SUM( z^(4^m)*(1 - z^(4^m) )/( 1 - z^(4^(m+1)) ), m >= 0 ).` `Morphism: 0, j -> j,j+1,j,j; e.g. 0 -> 0100 -> 0100121101000100 -> ...`
	CROSSREFS	`Sequence in context: A125753 A147701 A057516 this_sequence A089311 A086784 A104162` `Adjacent sequences: A160378 A160379 A160380 this_sequence A160382 A160383 A160384`
	KEYWORD	`nonn`
	AUTHOR	`Frank Ruskey (ruskey(AT)cs.uvic.ca), Jun 05 2009`

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Last modified December 20 00:58 EST 2009. Contains 171054 sequences.

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