A267719 -id:A267719 - cp's OEIS frontend

A267714 Number of nX3 0..1 arrays with every repeated value in every row and column greater than the previous repeated value.

6, 36, 102, 270, 546, 1080, 1866, 3186, 5010, 7830, 11550, 17004, 23934, 33726, 45786, 62364, 82254, 109008, 140406, 181890, 229674, 291852, 362346, 452862, 554106, 682578, 824622, 1002960, 1198182, 1440930, 1704378, 2029080, 2378838, 2806428

Offset: 1

R. H. Hardin, Jan 19 2016

nonn

Column 3 of A267719.

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

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

Cf. A267719.

Empirical: a(n) = 2*a(n-1) +4*a(n-2) -10*a(n-3) -5*a(n-4) +20*a(n-5) -20*a(n-7) +5*a(n-8) +10*a(n-9) -4*a(n-10) -2*a(n-11) +a(n-12)

A267715 Number of nX4 0..1 arrays with every repeated value in every row and column greater than the previous repeated value.

Original entry on oeis.org

9, 81, 270, 872, 1915, 4266, 7879, 14632, 24440, 40816, 63714, 99260, 147469, 218666, 312723, 446708, 619670, 859376, 1162558, 1573616, 2084223, 2764010, 3595063, 4684320, 5997316, 7694800, 9715586, 12296260, 15334641, 19171946, 23645587

Offset: 1

R. H. Hardin, Jan 19 2016

nonn

Column 4 of A267719.

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

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

Cf. A267719.

Empirical: a(n) = 2*a(n-1) +6*a(n-2) -14*a(n-3) -14*a(n-4) +42*a(n-5) +14*a(n-6) -70*a(n-7) +70*a(n-9) -14*a(n-10) -42*a(n-11) +14*a(n-12) +14*a(n-13) -6*a(n-14) -2*a(n-15) +a(n-16) for n>18

A267716 Number of nX5 0..1 arrays with every repeated value in every row and column greater than the previous repeated value.

Original entry on oeis.org

12, 144, 546, 1915, 4444, 10489, 20226, 39485, 68430, 119560, 192852, 313293, 479670, 740131, 1089072, 1617072, 2306226, 3323353, 4621390, 6500801, 8852780, 12205815, 16330614, 22134297, 29166650, 38947360, 50640656, 66733431, 85743710

Offset: 1

R. H. Hardin, Jan 19 2016

nonn

Column 5 of A267719.

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

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

Cf. A267719.

Empirical: a(n) = 2*a(n-1) +8*a(n-2) -18*a(n-3) -27*a(n-4) +72*a(n-5) +48*a(n-6) -168*a(n-7) -42*a(n-8) +252*a(n-9) -252*a(n-11) +42*a(n-12) +168*a(n-13) -48*a(n-14) -72*a(n-15) +27*a(n-16) +18*a(n-17) -8*a(n-18) -2*a(n-19) +a(n-20) for n>22

A267717 Number of nX6 0..1 arrays with every repeated value in every row and column greater than the previous repeated value.

Original entry on oeis.org

16, 256, 1080, 4266, 10489, 26906, 54887, 114392, 209470, 385962, 656670, 1114828, 1796644, 2877378, 4446790, 6818296, 10190753, 15108240, 21972963, 31714408, 45087635, 63668368, 88787667, 123106970, 168846792, 230489608, 311557126

Offset: 1

R. H. Hardin, Jan 19 2016

nonn

Column 6 of A267719.

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

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

Cf. A267719.

Empirical: a(n) = 2*a(n-1) +10*a(n-2) -22*a(n-3) -44*a(n-4) +110*a(n-5) +110*a(n-6) -330*a(n-7) -165*a(n-8) +660*a(n-9) +132*a(n-10) -924*a(n-11) +924*a(n-13) -132*a(n-14) -660*a(n-15) +165*a(n-16) +330*a(n-17) -110*a(n-18) -110*a(n-19) +44*a(n-20) +22*a(n-21) -10*a(n-22) -2*a(n-23) +a(n-24) for n>27

A267718 Number of nX7 0..1 arrays with every repeated value in every row and column greater than the previous repeated value.

Original entry on oeis.org

20, 400, 1866, 7879, 20226, 54887, 116036, 255009, 481390, 932245, 1627470, 2893983, 4765598, 7967260, 12535320, 20000374, 30337594, 46665892, 68699820, 102616722, 147369478, 214889742, 302259706, 431988823, 597033836, 838908027

Offset: 1

R. H. Hardin, Jan 19 2016

nonn

Column 7 of A267719.

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

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

Cf. A267719.

Empirical: a(n) = 2*a(n-1) +12*a(n-2) -26*a(n-3) -65*a(n-4) +156*a(n-5) +208*a(n-6) -572*a(n-7) -429*a(n-8) +1430*a(n-9) +572*a(n-10) -2574*a(n-11) -429*a(n-12) +3432*a(n-13) -3432*a(n-15) +429*a(n-16) +2574*a(n-17) -572*a(n-18) -1430*a(n-19) +429*a(n-20) +572*a(n-21) -208*a(n-22) -156*a(n-23) +65*a(n-24) +26*a(n-25) -12*a(n-26) -2*a(n-27) +a(n-28) for n>30

A267713 Number of n X n 0..1 arrays with every repeated value in every row and column greater than the previous repeated value.

Original entry on oeis.org

2, 16, 102, 872, 4444, 26906, 116036, 592110, 2411426, 11438402, 45729992, 209204918, 830949994, 3719941006, 14733123252, 64989888570

Offset: 1

R. H. Hardin, Jan 19 2016

nonn

Diagonal of A267719.

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

Cf. A267719.

cp's OEIS Frontend

A267714 Number of nX3 0..1 arrays with every repeated value in every row and column greater than the previous repeated value.

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A267715 Number of nX4 0..1 arrays with every repeated value in every row and column greater than the previous repeated value.

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A267716 Number of nX5 0..1 arrays with every repeated value in every row and column greater than the previous repeated value.

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A267717 Number of nX6 0..1 arrays with every repeated value in every row and column greater than the previous repeated value.

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A267718 Number of nX7 0..1 arrays with every repeated value in every row and column greater than the previous repeated value.

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A267713 Number of n X n 0..1 arrays with every repeated value in every row and column greater than the previous repeated value.

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