A134033 -id:A134033

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A134032

Rectangular array T(n,k) read by antidiagonals. Row n consists of numbers k for which {k*tau}<n/k, where tau=(1+sqrt(5))/2 and { } denotes fractional part.

+10
1

1, 2, 1, 5, 2, 1, 13, 4, 2, 1, 34, 5, 3, 2, 1, 89, 10, 4, 3, 2, 1, 233, 13, 5, 4, 3, 2, 1, 610, 26, 7, 5, 4, 3, 2, 1, 1597, 34, 10, 7, 5, 4, 3, 2, 1

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Each row is a subsequence of every row after it. Is row 2 = A133585?

LINKS

Table of n, a(n) for n=1..45.

EXAMPLE

Northwest corner:

1 2 5 13 34 89

1 2 4 5 10 13

1 2 3 4 5 7

CROSSREFS

Cf. A134033.

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Oct 02 2007

STATUS

approved

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