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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. 4

%I #5 Apr 20 2013 02:48:50

%S 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,

%T 178,322,233

%N 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.

%C (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.

%e Northwest corner:

%e 1 3 4 6 8 9 11 12 14 16

%e 2 7 10 15 20 23

%e 5 18 26 39 52 60

%e 13 47 68 102 136 157

%e 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.

%Y Cf. A134567, A134570.

%K nonn,tabl

%O 1,2

%A _Clark Kimberling_, Nov 02 2007

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Last modified April 19 06:44 EDT 2024. Contains 371782 sequences. (Running on oeis4.)