

A134571


Array T(n,k) by antidiagonals; T(n,k) = position in row n of kth occurrence of the Fibonacci number F(2n) in A134567.


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



OFFSET

1,2


COMMENTS

(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 oddnumbered columns of the Wythoff array; and A134571 is a permutation of the positive integers.


LINKS



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



KEYWORD



AUTHOR



STATUS

approved



