A275885 -id:A275885 - cp's OEIS frontend

A275887 Lengths of successive runs of identical terms in A275885.

2, 2, 2, 5, 2, 2, 1, 5, 1, 1, 2, 2, 1, 4, 1, 2, 2, 2, 1, 1, 1, 6, 6, 1, 1, 1, 2, 2, 3, 3, 1, 4, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 3, 1, 3, 2, 1, 1, 3, 1, 2, 2, 5, 1, 7, 2, 3, 1, 2, 2, 3, 1, 4, 1, 1, 1, 1, 2, 2, 1, 4, 1, 1, 1, 4, 3, 5, 1, 1, 1, 4, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1

Offset: 1

N. J. A. Sloane, Aug 18 2016

nonn

Run length transform of A275885.

For n < 500000, the first occurrence of a(n)=1..9 is at n=(7, 1, 29, 14, 4, 22, 64, 178, 534), and of a(n)=11 at n=230. Lars Blomberg Feb 02 2017

Lars Blomberg, Table of n, a(n) for n = 1..10000

Cf. A199134, A275885.

A199134 Indices of Greedy Queens (see A065188) below main diagonal.

Original entry on oeis.org

4, 5, 10, 11, 13, 15, 20, 21, 26, 27, 29, 31, 34, 38, 40, 42, 43, 49, 50, 54, 56, 58, 59, 64, 67, 69, 71, 75, 77, 78, 80, 85, 86, 90, 91, 95, 99, 101, 102, 104, 108, 111, 113, 116, 117, 120, 123, 128, 129, 132, 133, 136, 141, 143, 144, 146, 151, 152, 154, 156, 160

Offset: 1

Wouter Meeussen, Nov 04 2011

nonn

The word "below" in the definition is somewhat ambiguous. More precisely, this is the list of n such that A065188(n) < n. - N. J. A. Sloane, Aug 18 2016

For Greedy Queens that do not attack along antidiagonals, the analogous sequence of indices is A026352.

			Greedy Queens take positions (1,1) (2,3) (3,5) (4,2) (5,4) (6,9) ... and the 4th and 5th are below the main diagonal, so a(1)=4 and a(2)=5.

N. J. A. Sloane, Table of n, a(n) for n = 1..19098

Cf. A065188, A026352, A275893 (another version).
A275884 is the complementary sequence.
For runs see A275885, A275886.

<2+Floor[k*GoldenRatio],And[l>3+Floor[k/GoldenRatio],l

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

Original entry on oeis.org

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

N. J. A. Sloane, Aug 18 2016

nonn

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.

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.

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

For runs see A275885, A275886.

A275886 Lengths of runs of successive terms in A275884.

Original entry on oeis.org

3, 4, 1, 1, 4, 4, 1, 1, 2, 3, 1, 1, 5, 3, 1, 1, 4, 2, 1, 1, 3, 1, 1, 4, 3, 3, 3, 1, 1, 3, 2, 1, 2, 2, 2, 4, 2, 2, 4, 1, 1, 4, 1, 1, 3, 2, 3, 1, 1, 4, 3, 3, 4, 3, 3, 1, 1, 4, 4, 3, 1, 1, 5, 2, 2, 4, 1, 2, 2, 1, 3, 2, 1, 1, 4, 4, 1, 1, 4, 2, 3, 2, 1, 3, 2, 3, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 3, 2, 1, 3

Offset: 1

N. J. A. Sloane, Aug 18 2016

nonn

N. J. A. Sloane, Table of n, a(n) for n = 1..14001

Cf. A065188, A199134, A275884, A275885.

cp's OEIS Frontend

A275887 Lengths of successive runs of identical terms in A275885.

Views

Author

Keywords

Comments

Links

Crossrefs

A199134 Indices of Greedy Queens (see A065188) below main diagonal.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Programs

Mathematica

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

Views

Author

Keywords

Comments

Links

Crossrefs

A275886 Lengths of runs of successive terms in A275884.

Views

Author

Keywords

Links

Crossrefs