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A134571 Array T(n,k) by antidiagonals; T(n,k) = position in row n of k-th occurrence of the Fibonacci number F(2n) in A134567. +0
4
1, 3, 2, 4, 7, 5, 6, 10, 18, 13, 8, 15, 26, 47, 34, 9, 20, 39, 68, 123, 89, 11, 23, 52, 102, 178, 322, 233 (list; graph; listen)
OFFSET

1,2

COMMENT

(Row 1) = A000201, the lower Wythoff sequence (Row 2) = (Column 2 of Wythoff array) = A035336 (Row 3) = (Column 4 of Wythoff array) = A035338 (Row 4) = (Column 6 of Wythoff array) = A035340 (Column 1) = A001519 (bisection of Fibonacci sequence) (Column 2) = A005248 (bisection of Lucas sequence) (Column 3) = A052995 Row 1 is the ordered union of all odd-numbered columns of the Wythoff array; and A134571 is a permutation of the positive integers.

EXAMPLE

Northwest corner:

1 3 4 6 8 9 11 12 14 16

2 7 10 15 20 23

5 18 26 39 52 60

13 47 68 102 136 157

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. A134567, A134570.

Sequence in context: A121861 A060006 A123097 this_sequence A054086 A163329 A105025

Adjacent sequences: A134568 A134569 A134570 this_sequence A134572 A134573 A134574

KEYWORD

nonn

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu), Nov 02 2007

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.


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