A274640 -id:A274640 - cp's OEIS frontend

A275193 Positions of 9 in A274640.

30, 41, 45, 51, 59, 66, 74, 100, 121, 136, 175, 184, 211, 226, 263, 350, 401, 480, 548, 697, 724, 936, 1183, 1268, 1304, 1529, 1649, 1903, 1945, 2035, 2218, 2316, 2362, 2487, 2665, 2850, 3013, 3150, 3318, 3555, 3675, 3859, 3951, 3982, 4144, 4173, 4304, 4372

Offset: 1

Zak Seidov, Jul 19 2016

nonn

Alois P. Heinz, Table of n, a(n) for n = 1..10073
Alois P. Heinz, Positions of first 1412 9's in plane of A274640

Cf. A274640, A275172, A275188, A275189, A275190, A275191, A275192, A275194.

A275194 Positions of 10 in A274640.

Original entry on oeis.org

34, 46, 53, 58, 69, 73, 83, 110, 140, 150, 165, 177, 183, 255, 280, 324, 359, 422, 456, 595, 788, 1149, 1325, 1359, 1436, 1570, 1712, 1971, 2059, 2106, 2197, 2220, 2438, 2539, 2588, 2693, 2874, 3067, 3234, 3377, 3495, 3586, 3616, 3795, 3953, 4175, 4241, 4306

Offset: 1

Zak Seidov, Jul 19 2016

nonn

Alois P. Heinz, Table of n, a(n) for n = 1..10073
Alois P. Heinz, Positions of first 1411 10's in plane of A274640

Cf. A274640, A275172, A275188, A275189, A275190, A275191, A275192, A275193.

A274640(a(n)) = 10.

A308890 Follow along the squares in the square spiral (as in A274640); in each square write the smallest positive number that a knight placed at that square cannot see.

Original entry on oeis.org

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

Offset: 1

N. J. A. Sloane, Jul 01 2019

nonn

Similar to A274640, except that here we consider the mex of squares that are a knight's moves rather than queen's moves.
Since there are at most 4 earlier cells in the spiral at a knight's move from any square, a(n) <= 5.
This is obtained by adding 1 to the terms of A308884. "Mex" here means minimal positive excluded value.

Cf. A247640, A274641, A308885-A308895.

A274928 West spoke of spiral in A274640.

Original entry on oeis.org

1, 3, 5, 6, 7, 15, 10, 17, 13, 25, 14, 31, 20, 33, 34, 38, 35, 36, 23, 41, 52, 47, 53, 44, 30, 54, 61, 50, 51, 57, 71, 78, 81, 72, 79, 86, 93, 74, 91, 89, 98, 102, 105, 56, 106, 82, 97, 88, 95, 87, 59, 110, 68, 85, 125, 84, 126, 128, 116, 144, 92, 127, 142

Offset: 0

N. J. A. Sloane, Jul 12 2016

nonn

Alois P. Heinz, Table of n, a(n) for n = 0..1000
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. A274640, A274641. The 8 spokes are A274924-A274931.

More terms from Alois P. Heinz, Jul 12 2016

A275116 Positions of 2 in A274640.

Original entry on oeis.org

1, 4, 12, 19, 22, 65, 98, 123, 135, 179, 268, 284, 346, 365, 385, 534, 581, 605, 696, 750, 776, 834, 985, 1017, 1081, 1340, 1452, 1530, 1569, 1773, 1816, 1969, 2080, 2126, 2412, 2641, 2797, 2903, 2958, 3350, 3435, 3553, 3613, 3892, 4018, 4340, 4473, 4571, 4708

Offset: 1

Zak Seidov, Jul 17 2016

nonn

Alois P. Heinz, Table of n, a(n) for n = 1..10073
Alois P. Heinz, Positions of first 1410 2's in plane of A274640

Cf. A274640.

A274640(a(n)) = 2.

A274926 North spoke of spiral in A274640.

Original entry on oeis.org

1, 4, 6, 3, 12, 14, 15, 18, 20, 26, 25, 27, 21, 29, 22, 41, 32, 24, 36, 33, 46, 28, 42, 55, 50, 62, 60, 71, 69, 74, 54, 80, 82, 47, 44, 78, 91, 49, 98, 93, 79, 59, 86, 90, 109, 70, 101, 77, 120, 119, 97, 130, 118, 72, 67, 136, 131, 83, 141, 94, 124, 153, 139

Offset: 0

N. J. A. Sloane, Jul 12 2016

nonn

Alois P. Heinz, Table of n, a(n) for n = 0..1000
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. A274640, A274641. The 8 spokes are A274924-A274931.

More terms from Alois P. Heinz, Jul 12 2016

A274930 South spoke of spiral in A274640.

Original entry on oeis.org

1, 5, 2, 9, 13, 8, 7, 11, 10, 17, 19, 30, 23, 31, 16, 45, 34, 38, 39, 37, 43, 35, 56, 57, 51, 53, 64, 58, 40, 68, 63, 65, 73, 87, 48, 85, 92, 75, 100, 76, 52, 106, 107, 66, 110, 88, 117, 61, 108, 123, 125, 102, 128, 89, 104, 129, 134, 96, 132, 143, 116, 147

Offset: 0

N. J. A. Sloane, Jul 12 2016

nonn

Alois P. Heinz, Table of n, a(n) for n = 0..1000
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. A274640, A274641. The 8 spokes are A274924-A274931.

More terms from Alois P. Heinz, Jul 12 2016

A275877 Numbers on the East-West axis of A274640 in order of appearance.

Original entry on oeis.org

1, 2, 3, 4, 5, 8, 6, 11, 7, 12, 15, 16, 10, 9, 17, 19, 13, 24, 25, 22, 14, 18, 31, 27, 20, 26, 33, 21, 34, 37, 38, 43, 35, 39, 36, 40, 23, 49, 41, 28, 52, 29, 47, 32, 53, 46, 44, 55, 30, 60, 54, 45, 61, 48, 50, 66, 51, 73, 57, 70, 71, 76, 78, 83, 81, 77, 72, 65

Offset: 1

N. J. A. Sloane, Aug 16 2016

nonn

Conjectured to be a permutation of the natural numbers.

Alois P. Heinz, Table of n, a(n) for n = 1..2000

Cf. A274640.

Alternate terms of A274924 and A274928 (starting with a single 1).

A276036 Numbers on the North-South axis of A274640 in order of appearance.

Original entry on oeis.org

1, 4, 5, 6, 2, 3, 9, 12, 13, 14, 8, 15, 7, 18, 11, 20, 10, 26, 17, 25, 19, 27, 30, 21, 23, 29, 31, 22, 16, 41, 45, 32, 34, 24, 38, 36, 39, 33, 37, 46, 43, 28, 35, 42, 56, 55, 57, 50, 51, 62, 53, 60, 64, 71, 58, 69, 40, 74, 68, 54, 63, 80, 65, 82, 73, 47, 87

Offset: 1

Alois P. Heinz, Aug 16 2016

nonn

Conjectured to be a permutation of the natural numbers.

Alois P. Heinz, Table of n, a(n) for n = 1..2000

Cf. A274640.

Alternate terms of A274926 and A274930 (starting with a single 1).

A274925 Northeast spoke of spiral in A274640.

Original entry on oeis.org

1, 3, 2, 9, 7, 8, 12, 15, 13, 17, 20, 22, 26, 42, 27, 25, 28, 50, 35, 32, 37, 34, 38, 68, 48, 49, 80, 45, 53, 85, 93, 51, 52, 95, 60, 55, 67, 70, 116, 64, 129, 69, 77, 133, 74, 142, 86, 89, 94, 153, 90, 152, 96, 97, 88, 98, 102, 170, 103, 109, 99, 190, 186

Offset: 0

N. J. A. Sloane, Jul 12 2016

nonn

Alois P. Heinz, Table of n, a(n) for n = 0..1000
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. A274640, A274641. The 8 spokes are A274924-A274931.

More terms from Alois P. Heinz, Jul 12 2016

cp's OEIS Frontend

A275193 Positions of 9 in A274640.

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A275194 Positions of 10 in A274640.

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A308890 Follow along the squares in the square spiral (as in A274640); in each square write the smallest positive number that a knight placed at that square cannot see.

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A274928 West spoke of spiral in A274640.

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A275116 Positions of 2 in A274640.

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A274926 North spoke of spiral in A274640.

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A274930 South spoke of spiral in A274640.

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A275877 Numbers on the East-West axis of A274640 in order of appearance.

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A276036 Numbers on the North-South axis of A274640 in order of appearance.

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A274925 Northeast spoke of spiral in A274640.

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