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Search: id:A134571
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| A134571 |
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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. |
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+0 4
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| 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)
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OFFSET
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1,2
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COMMENT
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(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.
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EXAMPLE
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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.
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CROSSREFS
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Cf. A134567, A134570.
Sequence in context: A121861 A060006 A123097 this_sequence A054086 A163329 A105025
Adjacent sequences: A134568 A134569 A134570 this_sequence A134572 A134573 A134574
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu), Nov 02 2007
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