A267644 -id:A267644 - cp's OEIS frontend

A267638 Number of nX2 0..1 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

2, 8, 18, 50, 98, 242, 450, 1058, 1922, 4418, 7938, 18050, 32258, 72962, 130050, 293378, 522242, 1176578, 2093058, 4712450, 8380418, 18862082, 33538050, 75472898, 134184962, 301940738, 536805378, 1207861250, 2147352578, 4831641602

Offset: 1

R. H. Hardin, Jan 18 2016

nonn

Column 2 of A267644.

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

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

Cf. A267644.

Empirical: a(n) = a(n-1) +6*a(n-2) -6*a(n-3) -8*a(n-4) +8*a(n-5).

Empirical: G.f.: -2*x*(1+3*x-x^2-2*x^3+2*x^4) / ( (x-1)*(2*x+1)*(2*x-1)*(2*x^2-1) ). - R. J. Mathar, Jan 26 2016

A267639 Number of nX3 0..1 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

Original entry on oeis.org

3, 18, 51, 189, 429, 1353, 2829, 8427, 16899, 49443, 96657, 282717, 542913, 1601355, 3032535, 9058395, 16953333, 51380925, 95168013, 292791555, 537249507, 1677388467, 3051796161, 9662000493, 17443801617, 55944191787, 100303228599

Offset: 1

R. H. Hardin, Jan 18 2016

nonn

Column 3 of A267644.

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

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

Cf. A267644.

Empirical: a(n) = 2*a(n-1) +16*a(n-2) -33*a(n-3) -91*a(n-4) +198*a(n-5) +216*a(n-6) -523*a(n-7) -180*a(n-8) +576*a(n-9) -180*a(n-11)

A267640 Number of nX4 0..1 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

Original entry on oeis.org

5, 50, 189, 1015, 2887, 12623, 32303, 131673, 319541, 1277029, 3001299, 12025963, 27634899, 112196145, 253256721, 1046786789, 2326596207, 9807566523, 21492349119, 92416468657, 199851940021, 876060050789, 1870775860883

Offset: 1

R. H. Hardin, Jan 18 2016

nonn

Column 4 of A267644.

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

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

Cf. A267644.

Empirical: a(n) = 5*a(n-1) +57*a(n-2) -319*a(n-3) -1391*a(n-4) +9145*a(n-5) +18468*a(n-6) -155864*a(n-7) -132459*a(n-8) +1760919*a(n-9) +254909*a(n-10) -13917643*a(n-11) +4638860*a(n-12) +79124590*a(n-13) -54513835*a(n-14) -327439835*a(n-15) +320570891*a(n-16) +985750855*a(n-17) -1225493352*a(n-18) -2130193456*a(n-19) +3242322831*a(n-20) +3203056845*a(n-21) -6029044853*a(n-22) -3134570201*a(n-23) +7833336809*a(n-24) +1655845581*a(n-25) -6967179434*a(n-26) -21114162*a(n-27) +4096193100*a(n-28) -565113380*a(n-29) -1504086120*a(n-30) +349509240*a(n-31) +309916800*a(n-32) -91209600*a(n-33) -27216000*a(n-34) +9072000*a(n-35)

A267641 Number of nX5 0..1 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

Original entry on oeis.org

7, 98, 429, 2887, 8917, 47715, 128441, 647101, 1614281, 8168679, 19332185, 101212349, 229707509, 1260768903, 2761416109, 15947280405, 33873126897, 205385367891, 424974329569, 2690957511285, 5447493560049, 35782122811899

Offset: 1

R. H. Hardin, Jan 18 2016

nonn

Column 5 of A267644.

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 93

Cf. A267644.

Empirical recurrence of order 93 (see link above)

A267642 Number of nX6 0..1 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

Original entry on oeis.org

11, 242, 1353, 12623, 47715, 343145, 1117207, 7479533, 22499181, 150415627, 429242911, 2954085199, 8086558295, 58043181513, 153186588731, 1151896473495, 2939148319421, 23154681921613, 57239339798173, 471401152901559

Offset: 1

R. H. Hardin, Jan 18 2016

nonn

Column 6 of A267644.

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

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

Cf. A267644.

A267643 Number of nX7 0..1 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

Original entry on oeis.org

15, 450, 2829, 32303, 128441, 1117207, 3696933, 30649693, 90914453, 784186403, 2141552549, 19980003873, 50876741513, 520249434779, 1246972578665, 13942225071453, 31756214522413, 383944691019691, 839150694697605

Offset: 1

R. H. Hardin, Jan 18 2016

nonn

Column 7 of A267644.

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

R. H. Hardin, Table of n, a(n) for n = 1..96

Cf. A267644.

A267637 Number of n X n 0..1 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

Original entry on oeis.org

1, 8, 51, 1015, 8917, 343145, 3696933, 330654951, 4301737251, 1093232460925

Offset: 1

R. H. Hardin, Jan 18 2016

nonn

Diagonal of A267644.

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

Cf. A267644.

cp's OEIS Frontend

A267638 Number of nX2 0..1 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

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A267639 Number of nX3 0..1 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

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A267640 Number of nX4 0..1 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

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A267641 Number of nX5 0..1 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

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A267642 Number of nX6 0..1 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

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A267643 Number of nX7 0..1 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

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A267637 Number of n X n 0..1 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

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