A274924 -id:A274924 - cp's OEIS frontend

A274929 Southwest spoke of spiral in A274640.

1, 4, 6, 5, 14, 10, 11, 23, 16, 18, 21, 24, 19, 29, 46, 44, 30, 31, 58, 36, 33, 43, 41, 39, 40, 79, 78, 83, 47, 91, 57, 62, 56, 54, 61, 63, 59, 66, 115, 65, 73, 72, 75, 76, 131, 144, 92, 84, 81, 71, 82, 87, 164, 100, 172, 106, 104, 174, 179, 182, 105, 101, 191

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

A324480 Consider the numbers on the x-axis in the spiral shown in A274641; a(n) is the distance from n to the origin, or -1 if n never appears on the x-axis.

Original entry on oeis.org

0, 1, 1, 2, 2, 3, 4, 3, 7, 6, 4, 5, 8, 10, 5, 6, 7, 11, 8, 12, 14, 10, 18, 9, 9, 13, 12, 20, 21, 24, 11, 22, 13, 14, 16, 17, 15, 15, 17, 18, 19, 36, 16, 23, 26, 23, 21, 27, 19, 27, 28, 20, 22, 25, 24, 43, 29, 47, 50, 25, 26, 37, 43, 49, 34, 28, 42, 52, 53, 30, 30

Offset: 0

N. J. A. Sloane, Mar 11 2019

nonn

It is conjectured that every nonnegative number appears on the x-axis exactly once.

a(n) is also the distance to the origin from the point n+1 on the x-axis in A274640.

			The portion of the x-axis near 0 is:
... 14   6   5   4   2   0   1   3   7  10  11 ...
and we see that both 1 and 2 are at distance 1 from 0. So a(1) = a(2) = 1.

Rémy Sigrist, Table of n, a(n) for n = 0..4999
Rémy Sigrist, PARI program for A324480

Cf. A274640, A274641.

The positive and negative x-axes are given in A274924 and A274928.

PARI
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See Links section.
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More terms from Jinyuan Wang, Feb 27 2020

A324775 North-East spoke of spiral in A274641.

Original entry on oeis.org

0, 2, 1, 8, 6, 7, 11, 14, 12, 16, 19, 21, 25, 41, 26, 24, 27, 49, 34, 31, 36, 33, 37, 67, 47, 48, 79, 44, 52, 84, 92, 50, 51, 94, 59, 54, 66, 69, 115, 63, 128, 68, 76, 132, 73, 141, 85, 88, 93, 152, 89, 151, 95, 96, 87, 97, 101, 169, 102, 108, 98, 189, 185

Offset: 0

N. J. A. Sloane, Jul 05 2019

nonn

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 A324774-A324781. To get them, subtract 1 from A274924-A274931, respectively.

A324776 North spoke of spiral in A274641.

Original entry on oeis.org

0, 3, 5, 2, 11, 13, 14, 17, 19, 25, 24, 26, 20, 28, 21, 40, 31, 23, 35, 32, 45, 27, 41, 54, 49, 61, 59, 70, 68, 73, 53, 79, 81, 46, 43, 77, 90, 48, 97, 92, 78, 58, 85, 89, 108, 69, 100, 76, 119, 118, 96, 129, 117, 71, 66, 135, 130, 82, 140, 93, 123, 152, 138

Offset: 0

N. J. A. Sloane, Jul 05 2019

nonn

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 A324774-A324781. To get them, subtract 1 from A274924-A274931, respectively.

A324777 North-West spoke of spiral in A274641.

Original entry on oeis.org

0, 1, 2, 3, 7, 8, 6, 10, 13, 9, 21, 28, 17, 18, 24, 25, 19, 29, 32, 27, 30, 31, 44, 66, 40, 33, 37, 43, 47, 50, 48, 99, 54, 51, 57, 52, 59, 60, 63, 62, 120, 74, 69, 64, 70, 71, 82, 80, 73, 78, 83, 81, 85, 87, 84, 86, 175, 94, 95, 92, 105, 102, 108, 111, 104

Offset: 0

N. J. A. Sloane, Jul 05 2019

nonn

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 A324774-A324781. To get them, subtract 1 from A274924-A274931, respectively.

A324778 West spoke of spiral in A274641.

Original entry on oeis.org

0, 2, 4, 5, 6, 14, 9, 16, 12, 24, 13, 30, 19, 32, 33, 37, 34, 35, 22, 40, 51, 46, 52, 43, 29, 53, 60, 49, 50, 56, 70, 77, 80, 71, 78, 85, 92, 73, 90, 88, 97, 101, 104, 55, 105, 81, 96, 87, 94, 86, 58, 109, 67, 84, 124, 83, 125, 127, 115, 143, 91, 126, 141

Offset: 0

N. J. A. Sloane, Jul 05 2019

nonn

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 A324774-A324781. To get them, subtract 1 from A274924-A274931, respectively.

A324779 South-West spoke of spiral in A274641.

Original entry on oeis.org

0, 3, 5, 4, 13, 9, 10, 22, 15, 17, 20, 23, 18, 28, 45, 43, 29, 30, 57, 35, 32, 42, 40, 38, 39, 78, 77, 82, 46, 90, 56, 61, 55, 53, 60, 62, 58, 65, 114, 64, 72, 71, 74, 75, 130, 143, 91, 83, 80, 70, 81, 86, 163, 99, 171, 105, 103, 173, 178, 181, 104, 100, 190

Offset: 0

N. J. A. Sloane, Jul 05 2019

nonn

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 A324774-A324781. To get them, subtract 1 from A274924-A274931, respectively.

A324780 South spoke of spiral in A274641.

Original entry on oeis.org

0, 4, 1, 8, 12, 7, 6, 10, 9, 16, 18, 29, 22, 30, 15, 44, 33, 37, 38, 36, 42, 34, 55, 56, 50, 52, 63, 57, 39, 67, 62, 64, 72, 86, 47, 84, 91, 74, 99, 75, 51, 105, 106, 65, 109, 87, 116, 60, 107, 122, 124, 101, 127, 88, 103, 128, 133, 95, 131, 142, 115, 146

Offset: 0

N. J. A. Sloane, Jul 05 2019

nonn

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 A324774-A324781. To get them, subtract 1 from A274924-A274931, respectively.

cp's OEIS Frontend

A274929 Southwest spoke of spiral in A274640.

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A324480 Consider the numbers on the x-axis in the spiral shown in A274641; a(n) is the distance from n to the origin, or -1 if n never appears on the x-axis.

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A324775 North-East spoke of spiral in A274641.

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A324776 North spoke of spiral in A274641.

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A324777 North-West spoke of spiral in A274641.

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A324778 West spoke of spiral in A274641.

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A324779 South-West spoke of spiral in A274641.

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A324780 South spoke of spiral in A274641.

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