id:A135818 - OEIS Search Results

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Number of 1's (or A's) in the Wythoff representation of n.

+0
3

1, 0, 1, 2, 0, 3, 1, 1, 4, 2, 2, 2, 0, 5, 3, 3, 3, 1, 3, 1, 1, 6, 4, 4, 4, 2, 4, 2, 2, 4, 2, 2, 2, 0, 7, 5, 5, 5, 3, 5, 3, 3, 5, 3, 3, 3, 1, 5, 3, 3, 3, 1, 3, 1, 1, 8, 6, 6, 6, 4, 6, 4, 4, 6, 4, 4, 4, 2, 6, 4, 4, 4, 2, 4, 2, 2, 6, 4, 4, 4, 2, 4, 2, 2, 4, 2, 2, 2, 0, 9, 7, 7, 7, 5, 7, 5, 5, 7, 5, 5, 5, 3, 7, 5, 5 (list; graph; listen)

	OFFSET	`1,4`
	COMMENT	`See A135817 for references and links for the Wythoff representation for n>=1.`
	FORMULA	`a(n)= number of applications of Wythoff's A sequence A000201 needed in the unique Wythoff representation of n>=1.`
	EXAMPLE	6 = A(A(A(B(1)))) = AAAB = `1110`, hence a(6)=3.
	CROSSREFS	`Cf. A135817 (lengths of Wythoff representation), A007895 (number of 0's (or B's) in the Wythoff representation).` `Adjacent sequences: A135815 A135816 A135817 this_sequence A135819 A135820 A135821` `Sequence in context: A047983 A070812 A061865 this_sequence A078804 A071465 A051709`
	KEYWORD	`nonn,easy`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de) Jan 21 2008`

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Last modified November 8 20:39 EST 2009. Contains 166234 sequences.

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