A286511 Lexicographically earliest sequence of positive integers such that for each pair (i, j) with i < j, the 2 X 2 matrix [i, a(i); j, a(j)] has a distinct determinant.

1, 1, 3, 1, 7, 10, 17, 1, 22, 29, 35, 40, 28, 74, 5, 1, 70, 73, 90, 109, 103, 125, 30, 89, 158, 172, 165, 123, 171, 212, 228, 262, 242, 52, 264, 274, 167, 349, 1, 383, 288, 423, 404, 445, 412, 394, 514, 427, 478, 527, 626, 229, 602, 581, 536, 665, 710, 698

Offset

1,3

Links

Peter Kagey, Table of n, a(n) for n = 1..1000

Example

For n = 3:
a(3) != 1 or else det([1, 1; 2, 1]) = -1 = det([1, 1; 3, 1]);
a(3) != 2 or else det([1, 1; 2, 1]) = -1 = det([1, 1; 3, 2]); therefore,
a(3) = 3.

Crossrefs

Sequence in context: A280332 A279939 A337748 * A307901 A232965 A249401

Adjacent sequences: A286508 A286509 A286510 * A286512 A286513 A286514

Keyword

nonn

Author

Peter Kagey, May 10 2017

Status

approved