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A135818 Number of 1's (or A's) in the Wythoff representation of n. 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; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

See A135817 for references and links for the Wythoff representation for n>=1.

LINKS

Table of n, a(n) for n=1..105.

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).

Sequence in context: A047983 A070812 A061865 * A078804 A071465 A197117

Adjacent sequences:  A135815 A135816 A135817 * A135819 A135820 A135821

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang Jan 21 2008

STATUS

approved

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Last modified February 19 20:54 EST 2019. Contains 320328 sequences. (Running on oeis4.)