A293087 -id:A293087 - cp's OEIS frontend

A293080 Number of n X n 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1.

0, 0, 53, 8108, 3786544, 6736259130, 48001754870966, 1383438455350705382, 161312497547006248372814, 76023645347398961263283802334, 144620752785016707502340606159808938

Offset: 1

R. H. Hardin, Sep 30 2017

nonn

Diagonal of A293087.

			Some solutions for n=4
..1..1..1..0. .0..0..0..0. .0..1..1..0. .1..1..0..0. .0..1..1..0
..0..1..1..0. .1..1..0..0. .0..0..1..1. .1..0..1..1. .0..0..0..1
..0..0..1..0. .0..0..0..1. .0..0..0..1. .0..1..1..0. .1..0..0..1
..0..0..0..1. .0..0..1..1. .0..0..1..0. .0..0..1..0. .0..1..1..0

R. H. Hardin, Table of n, a(n) for n = 1..12

Cf. A293087.

A293081 Number of n X 2 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1.

Original entry on oeis.org

0, 0, 1, 10, 60, 304, 1420, 6312, 27167, 114412, 474563, 1947098, 7925708, 32072580, 129213082, 518818124, 2077775396, 8304424080, 33138971978, 132078954532, 525904271587, 2092410377864, 8320012474033, 33066905278394, 131371155380369

Offset: 1

R. H. Hardin, Sep 30 2017

nonn

Column 2 of A293087.

			All solutions for n=4
..0..1. .1..0. .0..0. .0..1. .0..1. .0..1. .0..1. .0..1. .0..0. .0..0
..0..0. .0..1. .1..0. .0..0. .0..0. .0..0. .0..1. .0..0. .1..0. .0..1
..1..0. .0..0. .0..0. .0..1. .1..0. .1..0. .0..0. .0..0. .0..1. .0..0
..1..0. .1..0. .1..0. .0..0. .0..0. .0..1. .1..0. .1..0. .0..0. .1..0

R. H. Hardin, Table of n, a(n) for n = 1..210

Cf. A293087.

A293082 Number of n X 3 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1.

Original entry on oeis.org

0, 5, 53, 498, 4013, 31689, 246743, 1915490, 14853287, 115216476, 894466395, 6951525006, 54087414608, 421322913539, 3285654843025, 25650404747946, 200449942963173, 1567942963397654, 12275547702488649, 96186181822236986

Offset: 1

R. H. Hardin, Sep 30 2017

nonn

Column 3 of A293087.

			Some solutions for n=4
..1..0..0. .1..0..0. .0..1..0. .1..1..0. .0..0..0. .0..0..0. .0..1..0
..0..0..0. .0..1..1. .0..0..0. .0..1..0. .1..0..0. .0..1..1. .1..0..1
..1..1..0. .0..1..0. .0..0..1. .0..0..0. .1..0..0. .0..1..1. .0..1..0
..0..0..1. .0..1..1. .1..0..0. .1..0..1. .0..1..1. .0..1..0. .0..1..0

R. H. Hardin, Table of n, a(n) for n = 1..210

Cf. A293087.

A293083 Number of n X 4 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1.

Original entry on oeis.org

0, 23, 486, 8108, 126903, 1955375, 30064393, 462569756, 7127871677, 110032675158, 1701716646013, 26365297553133, 409178131040177, 6360241131134572, 99006293076495153, 1543225051401234780, 24083853470118205024

Offset: 1

R. H. Hardin, Sep 30 2017

nonn

Column 4 of A293087.

			Some solutions for n=4
..0..0..0..0. .0..1..0..0. .0..0..0..0. .1..0..0..1. .0..1..1..1
..0..1..0..0. .1..0..1..0. .0..0..1..1. .1..1..0..0. .0..1..0..1
..0..0..1..1. .0..0..1..0. .1..0..1..0. .0..1..0..0. .1..0..0..0
..1..1..0..0. .1..0..1..1. .0..0..1..0. .0..0..1..1. .0..0..1..0

R. H. Hardin, Table of n, a(n) for n = 1..210

Cf. A293087.

A293084 Number of n X 5 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1.

Original entry on oeis.org

0, 124, 4091, 125848, 3786544, 114271723, 3464680837, 105517939849, 3226317873349, 98993221147045, 3046729346513705, 94021836073596160, 2908369805243433206, 90152447341950898741, 2799699600908925841358

Offset: 1

R. H. Hardin, Sep 30 2017

nonn

Column 5 of A293087.

			Some solutions for n=4
..0..0..0..1..0. .0..1..1..1..0. .1..1..0..0..1. .0..0..0..1..1
..0..0..0..1..0. .0..0..0..1..0. .0..1..1..1..0. .1..0..0..1..1
..1..1..0..0..1. .0..1..1..1..0. .0..0..0..0..0. .0..1..1..0..0
..1..0..1..0..0. .0..1..1..0..0. .0..1..1..0..1. .0..0..0..0..1

R. H. Hardin, Table of n, a(n) for n = 1..210

Cf. A293087.

A293085 Number of n X 6 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1.

Original entry on oeis.org

1, 518, 32070, 1900201, 112687158, 6736259130, 405651046593, 24578475941654, 1496865603233666, 91554912627879749, 5620403258825580746, 346108444488158412416, 21371320222879037699886, 1322739734613558463366865

Offset: 1

R. H. Hardin, Sep 30 2017

nonn

Column 6 of A293087.

			Some solutions for n=3
..0..1..1..1..0..0. .1..0..1..0..1..0. .0..0..0..1..1..0. .1..1..0..0..0..0
..1..0..0..1..1..0. .0..1..0..0..0..0. .0..0..0..0..1..1. .1..0..0..1..0..0
..0..1..0..0..1..0. .1..0..1..1..0..0. .0..1..0..0..0..1. .1..1..0..0..1..1

R. H. Hardin, Table of n, a(n) for n = 1..144

Cf. A293087.

A293086 Number of n X 7 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1.

Original entry on oeis.org

3, 2103, 246852, 28709764, 3370860734, 400400301913, 48001754870966, 5797084510052322, 704256987414278983, 85972707914136829157, 10537720695667977589004, 1296036949777139758454158

Offset: 1

R. H. Hardin, Sep 30 2017

nonn

Column 7 of A293087.

			Some solutions for n=2
..0..0..0..1..0..0..1. .1..0..1..0..0..1..0. .0..1..0..0..1..0..1
..0..1..0..0..0..1..1. .0..1..0..0..1..0..1. .0..1..0..1..0..0..1

R. H. Hardin, Table of n, a(n) for n = 1..100

Cf. A293087.

A293088 Number of 2 X n 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1.

Original entry on oeis.org

0, 0, 5, 23, 124, 518, 2103, 8304, 32561, 127188, 497290, 1944992, 7609668, 29781058, 116601073, 456769568, 1790429581, 7022484654, 27560850105, 108231066278, 425262686638, 1671850997415, 6576007463557, 25878627324698, 101888312587090

Offset: 1

R. H. Hardin, Sep 30 2017

nonn

Row 2 of A293087.

			Some solutions for n=4
..0..1..0..0. .1..0..0..0. .1..1..0..0. .1..0..0..0. .0..0..1..0
..0..0..0..1. .0..0..1..0. .0..0..1..1. .0..1..0..0. .0..0..1..0

R. H. Hardin, Table of n, a(n) for n = 1..210

Cf. A293087.

A293089 Number of 3 X n 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1.

Original entry on oeis.org

0, 1, 53, 486, 4091, 32070, 246852, 1897509, 14578434, 112390406, 867693603, 6716080364, 52061270779, 404329966577, 3144612848086, 24493415901992, 191015933608631, 1491484435347360, 11658153191250672, 91217811828544156

Offset: 1

R. H. Hardin, Sep 30 2017

nonn

Row 3 of A293087.

			Some solutions for n=4
..0..0..0..0. .0..0..1..0. .0..1..0..0. .0..0..0..0. .0..1..0..0
..1..0..1..0. .0..1..0..1. .0..1..0..0. .0..1..1..0. .0..1..1..0
..0..1..1..0. .1..0..0..0. .0..1..1..1. .1..0..1..0. .1..0..1..0

R. H. Hardin, Table of n, a(n) for n = 1..210

Cf. A293087.

A293090 Number of 4 X n 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1.

Original entry on oeis.org

0, 10, 498, 8108, 125848, 1900201, 28709764, 435581165, 6638075636, 101571134541, 1559620441607, 24020341461662, 370919586815724, 5740889185248758, 89034754024149656, 1383318002074531596, 21526968518644809557

Offset: 1

R. H. Hardin, Sep 30 2017

nonn

Row 4 of A293087.

			Some solutions for n=4
..1..0..0..0. .0..0..1..1. .1..1..0..1. .1..1..0..0. .0..0..0..1
..0..1..0..0. .0..1..1..0. .0..0..1..0. .0..0..0..0. .1..0..0..0
..1..1..1..1. .0..0..0..0. .0..1..1..0. .1..0..1..0. .1..0..0..1
..0..0..1..1. .0..0..0..0. .0..1..0..0. .1..1..1..0. .0..0..0..1

R. H. Hardin, Table of n, a(n) for n = 1..174

Cf. A293087.

cp's OEIS Frontend

A293080 Number of n X n 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1.

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A293081 Number of n X 2 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1.

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A293082 Number of n X 3 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1.

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A293083 Number of n X 4 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1.

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A293084 Number of n X 5 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1.

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A293085 Number of n X 6 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1.

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A293086 Number of n X 7 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1.

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A293088 Number of 2 X n 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1.

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A293089 Number of 3 X n 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1.

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A293090 Number of 4 X n 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1.

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