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A275884
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Indices of Greedy Queens (see A065188) on or above the main diagonal.
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12
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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
(list;
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refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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COMMENTS
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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.
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LINKS
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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.
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CROSSREFS
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Cf. A065188, A275894 (another version). Complement of A199134.
For runs see A275885, A275886.
Sequence in context: A285134 A161824 A102806 * A003605 A132188 A326027
Adjacent sequences: A275881 A275882 A275883 * A275885 A275886 A275887
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane, Aug 18 2016
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STATUS
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approved
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