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A134570 Array T(n,k) by antidiagonals; T(n,k) = position in row n of k-th occurrence of the Fibonacci number F(2n+1) in A134566. 4
2, 5, 1, 7, 4, 3, 10, 6, 11, 8, 13, 9, 16, 29, 21, 15, 12, 24, 42, 76, 55, 18, 14, 32, 63, 110, 199, 144, 20, 17, 37, 84, 165, 288, 521, 377, 23, 19, 45, 97, 220, 432, 754 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

(Row 1) = A001950, the upper Wythoff sequence (Row 2) = (Column 1 of Wythoff array) = A003622 (Row 3) = (Column 3 of Wythoff array) = A035337 (Row 4) = (Column 5 of Wythoff array) = A035339 Except for initial terms, the first two columns of A134570 are bisected Fibonacci and Lucas sequences, A001906 and A002878, resp. Row 1 is the ordered union of all even-numbered columns of the Wythoff array; and A134570 is a permutation of the positive integers.

LINKS

Table of n, a(n) for n=1..43.

EXAMPLE

Northwest corner:

2 5 7 10 13 15 18 20 23 26

1 4 6 9 12 14

3 11 16 24 32 37

8 29 42 63 84 97

Row 1 consists of numbers k such that 1 is the least m for which {-m*tau}>{k*tau}, where tau=(1+sqrt(5))/2 and {} denotes fractional part.

CROSSREFS

Cf. A134566, A134571.

Sequence in context: A106619 A173630 A060789 * A246169 A258067 A240241

Adjacent sequences:  A134567 A134568 A134569 * A134571 A134572 A134573

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Nov 02 2007

STATUS

approved

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Last modified May 14 22:40 EDT 2021. Contains 343909 sequences. (Running on oeis4.)