A267667 -id:A267667 - cp's OEIS frontend

A267661 Number of nX2 0..1 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.

2, 8, 32, 98, 288, 800, 2178, 5832, 15488, 40898, 107648, 282752, 741762, 1944392, 5094432, 13343778, 34944800, 91503392, 239586050, 627288200, 1642332672, 4299797378, 11257201152, 29472035328, 77159275778, 202006392200

Offset: 1

R. H. Hardin, Jan 19 2016

nonn

Column 2 of A267667.

			Some solutions for n=8
..0..1....0..1....0..1....0..1....0..0....0..1....0..1....0..0....0..0....0..1
..0..1....1..1....1..0....0..0....1..1....1..0....1..0....1..0....0..1....0..1
..0..1....1..1....0..1....1..0....0..0....0..1....1..0....0..0....1..0....0..1
..0..0....1..0....1..0....0..1....1..1....1..0....1..0....1..0....0..0....1..1
..1..1....1..1....0..0....1..0....1..1....0..1....1..1....0..1....0..0....0..0
..0..1....1..0....1..0....0..0....0..1....0..0....1..0....0..0....0..0....0..1
..0..1....1..1....1..1....0..0....1..1....0..1....0..0....1..1....1..0....0..0
..0..1....1..0....0..0....0..1....1..0....1..1....1..0....0..0....0..0....1..1

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

Cf. A267667.

Empirical: a(n) = 4*a(n-1) -2*a(n-2) -6*a(n-3) +4*a(n-4) +2*a(n-5) -a(n-6)

A267662 Number of nX3 0..1 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.

Original entry on oeis.org

3, 18, 108, 453, 1800, 6654, 23967, 84552, 295176, 1023321, 3533484, 12170886, 41859891, 143844024, 494032074, 1696231551, 5822855280, 19986766938, 68599945065, 235446171408, 808076493654, 2773384864119, 9518456958738

Offset: 1

R. H. Hardin, Jan 19 2016

nonn

Column 3 of A267667.

			Some solutions for n=8
..0..0..1....0..1..0....0..1..1....0..0..1....0..0..1....0..0..1....0..1..1
..1..0..0....1..0..1....1..0..1....1..1..0....0..1..0....0..1..0....0..0..1
..0..1..0....1..1..0....0..1..0....0..1..0....1..1..0....0..0..1....0..1..0
..1..0..1....1..0..0....1..0..1....1..0..0....0..0..1....1..1..0....1..0..1
..1..0..0....1..1..0....1..0..0....0..1..0....0..1..0....0..1..0....0..1..0
..1..1..0....1..0..1....1..0..1....0..1..0....1..0..0....0..0..1....1..0..1
..1..0..0....1..1..0....0..1..1....0..1..0....0..1..0....0..1..0....0..1..0
..1..0..1....1..0..1....1..0..0....0..1..1....1..0..1....0..1..1....1..0..1

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

Cf. A267667.

Empirical: a(n) = 8*a(n-1) -13*a(n-2) -44*a(n-3) +135*a(n-4) +39*a(n-5) -375*a(n-6) +84*a(n-7) +461*a(n-8) -139*a(n-9) -294*a(n-10) +69*a(n-11) +98*a(n-12) -14*a(n-13) -16*a(n-14) +a(n-15) +a(n-16)

A267663 Number of n X 4 0..1 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.

Original entry on oeis.org

5, 50, 500, 3143, 18432, 98438, 508681, 2560344, 12721832, 62688891, 307514468, 1504686646, 7352965785, 35912894408, 175383062746, 856630710989, 4185293733440, 20456112775414, 100023287817835, 489294036823648

Offset: 1

R. H. Hardin, Jan 19 2016

nonn

Column 4 of A267667.

			Some solutions for n=6
..0..1..0..0....0..0..1..1....0..1..0..0....0..1..0..0....0..0..1..0
..0..1..0..0....1..0..1..0....0..1..1..0....1..0..0..1....1..0..1..1
..0..1..0..0....1..0..1..1....1..0..1..0....1..1..0..0....0..1..1..0
..0..0..1..0....1..1..0..1....0..1..0..0....0..1..0..1....1..0..1..1
..1..1..0..1....0..0..1..1....0..0..1..0....1..1..0..1....1..0..1..0
..0..1..1..0....1..0..0..1....0..1..0..0....0..0..1..1....1..1..0..1

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 80

Cf. A267667.

Empirical recurrence of order 80 (see link above).

A267664 Number of nX5 0..1 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.

Original entry on oeis.org

7, 98, 1372, 10933, 80404, 528980, 3351233, 20607770, 124968034, 751679881, 4503526606, 26944093086, 161168152537, 964705429660, 5780078807152, 34674075257785, 208263171976478, 1252461099135084, 7541064630678427

Offset: 1

R. H. Hardin, Jan 19 2016

nonn

Column 5 of A267667.

			Some solutions for n=5
..0..0..1..0..1....0..1..1..0..1....0..1..0..1..1....0..1..0..0..1
..0..1..1..0..0....1..0..0..1..1....0..1..1..0..0....1..0..0..1..0
..0..1..0..0..1....0..0..1..0..1....1..0..0..1..0....0..1..0..0..1
..0..1..1..0..1....0..0..1..1..0....0..1..0..0..1....0..1..0..0..1
..1..0..1..1..0....0..1..1..0..1....1..0..1..0..0....0..1..1..0..1

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

Cf. A267667.

A267665 Number of nX6 0..1 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.

Original entry on oeis.org

11, 242, 5324, 60401, 624476, 5663798, 49212395, 413258400, 3417993766, 28026084373, 228941114008, 1868432655976, 15254571685815, 124714040038344, 1021298776008550, 8379613096399389, 68885791116415104, 567383480583996940

Offset: 1

R. H. Hardin, Jan 19 2016

nonn

Column 6 of A267667.

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

R. H. Hardin, Table of n, a(n) for n = 1..209

Cf. A267667.

A267666 Number of nX7 0..1 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.

Original entry on oeis.org

15, 450, 13500, 188301, 2369260, 25652956, 264709135, 2629810220, 25695609592, 248940754959, 2403684195338, 23214264266490, 224513724291545, 2177014307614418, 21166636724769010, 206403484324982865

Offset: 1

R. H. Hardin, Jan 19 2016

nonn

Column 7 of A267667.

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

R. H. Hardin, Table of n, a(n) for n = 1..86

Cf. A267667.

A267668 Number of 3Xn 0..1 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.

Original entry on oeis.org

4, 32, 108, 500, 1372, 5324, 13500, 48668, 119164, 415292, 1000188, 3429500, 8193532, 27871484, 66325500, 224727548, 533731324, 1804870652, 4282396668, 14467221500, 34309431292, 115850907644, 274676629500, 927260024828

Offset: 1

R. H. Hardin, Jan 19 2016

nonn

Row 3 of A267667.

			Some solutions for n=8
..0..1..0..1..0..1..0..1....0..1..0..1..0..0..1..1....0..1..0..1..0..1..0..1
..1..0..1..0..1..0..1..1....0..0..1..0..1..1..0..1....0..0..1..0..1..0..1..1
..1..1..0..1..0..0..1..0....1..0..1..0..1..1..0..1....1..0..1..1..0..0..1..0

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

Cf. A267667.

Empirical: a(n) = a(n-1) +14*a(n-2) -14*a(n-3) -56*a(n-4) +56*a(n-5) +64*a(n-6) -64*a(n-7)

A267669 Number of 4Xn 0..1 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.

Original entry on oeis.org

7, 98, 453, 3143, 10933, 60401, 188301, 951113, 2812057, 13690793, 39294261, 188823533, 531699829, 2551208657, 7083277713, 34139004377, 93677247421, 454955695853, 1235099875965, 6055154070065, 16269918251065, 80602553434841

Offset: 1

R. H. Hardin, Jan 19 2016

nonn

Row 4 of A267667.

			Some solutions for n=7
..0..1..0..0..1..0..1....0..1..0..1..1..0..0....0..0..1..0..1..0..1
..0..0..1..0..1..1..0....0..0..1..0..1..0..1....0..1..0..1..1..0..0
..1..0..1..0..1..0..1....0..1..0..1..1..0..0....1..0..1..0..1..0..0
..0..1..1..0..1..0..0....0..1..1..0..0..1..0....0..0..1..0..1..0..1

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

Cf. A267667.

Empirical: a(n) = 5*a(n-1) +46*a(n-2) -255*a(n-3) -804*a(n-4) +5287*a(n-5) +6393*a(n-6) -57990*a(n-7) -17379*a(n-8) +368289*a(n-9) -70362*a(n-10) -1394997*a(n-11) +645844*a(n-12) +3138583*a(n-13) -1858369*a(n-14) -4077534*a(n-15) +2440404*a(n-16) +2940332*a(n-17) -1387260*a(n-18) -1138872*a(n-19) +275184*a(n-20) +183456*a(n-21)

A267670 Number of 5Xn 0..1 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.

Original entry on oeis.org

12, 288, 1800, 18432, 80404, 624476, 2369260, 16599404, 58673768, 396192232, 1341344220, 8997486724, 29537306724, 199856740924, 639725846056, 4402373616416, 13773133899732, 96844636475844, 296410370293060

Offset: 1

R. H. Hardin, Jan 19 2016

nonn

Row 5 of A267667.

			Some solutions for n=5
..0..1..0..1..1....0..1..0..1..0....0..1..0..1..0....0..1..1..0..1
..0..1..0..0..1....0..0..1..0..1....0..1..0..1..1....0..1..0..1..1
..1..0..1..0..1....1..0..1..1..0....1..0..1..1..0....0..1..0..0..1
..0..1..0..0..1....0..0..1..1..0....0..1..0..1..1....0..1..0..1..0
..0..0..1..1..0....1..0..1..1..0....1..1..0..1..0....1..1..0..0..1

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 96

Cf. A267667.

Empirical recurrence of order 96 (see link above)

A267671 Number of 6Xn 0..1 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.

Original entry on oeis.org

20, 800, 6654, 98438, 528980, 5663798, 25652956, 245171384, 1013801118, 9371493930, 36493683322, 338859534762, 1258923096090, 11981816150524, 42692770908886, 421365884931922, 1442510986422868, 14867064750007770

Offset: 1

R. H. Hardin, Jan 19 2016

nonn

Row 6 of A267667.

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

R. H. Hardin, Table of n, a(n) for n = 1..140

Cf. A267667.

cp's OEIS Frontend

A267661 Number of nX2 0..1 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.

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A267662 Number of nX3 0..1 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.

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A267663 Number of n X 4 0..1 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.

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A267664 Number of nX5 0..1 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.

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A267665 Number of nX6 0..1 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.

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A267666 Number of nX7 0..1 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.

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A267668 Number of 3Xn 0..1 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.

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A267669 Number of 4Xn 0..1 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.

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A267670 Number of 5Xn 0..1 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.

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A267671 Number of 6Xn 0..1 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.