A275884 Indices of Greedy Queens (see A065188) on or above the main diagonal.

1, 2, 3, 6, 7, 8, 9, 12, 14, 16, 17, 18, 19, 22, 23, 24, 25, 28, 30, 32, 33, 35, 36, 37, 39, 41, 44, 45, 46, 47, 48, 51, 52, 53, 55, 57, 60, 61, 62, 63, 65, 66, 68, 70, 72, 73, 74, 76, 79, 81, 82, 83, 84, 87, 88, 89, 92, 93, 94, 96, 97, 98, 100, 103, 105, 106, 107, 109, 110, 112, 114, 115, 118, 119

Offset

1,2

Comments

The word "above" in the definition is somewhat ambiguous. More precisely, this is the list of n such that A065188(n) >= n.

If one looks at the graph of A065188, the points appear to lie roughly on two lines, of slopes phi (the golden ratio) and 1/phi. The points in the present sequence appear to fall on the line of slope phi. That is, it is appears that A065188(a(n))/a(n) -> phi as n -> oo.

Links

N. J. A. Sloane, Table of n, a(n) for n = 1..30901

F. Michel Dekking, Jeffrey Shallit, and N. J. A. Sloane, Queens in exile: non-attacking queens on infinite chess boards, Electronic J. Combin., 27:1 (2020), #P1.52.

Crossrefs

Cf. A065188, A275894 (another version). Complement of A199134.

For runs see A275885, A275886.

Sequence in context: A285134 A161824 A102806 * A003605 A344128 A132188

Adjacent sequences: A275881 A275882 A275883 * A275885 A275886 A275887

Keyword

nonn

Author

N. J. A. Sloane, Aug 18 2016

Status

approved