A267788 -id:A267788 - cp's OEIS frontend

A267783 Number of n X 3 0..1 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.

8, 64, 216, 729, 1728, 4096, 8000, 15625, 27000, 46656, 74088, 117649, 175616, 262144, 373248, 531441, 729000, 1000000, 1331000, 1771561, 2299968, 2985984, 3796416, 4826809, 6028568, 7529536, 9261000, 11390625, 13824000, 16777216

Offset: 1

R. H. Hardin, Jan 20 2016

nonn

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

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

Column 3 of A267788.

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).

Empirical g.f.: x*(8 + 48*x + 56*x^2 + 121*x^3 + 86*x^4 + 44*x^5 - 14*x^6 + 6*x^7 + 10*x^8 - 4*x^9 - 2*x^10 + x^11) / ((1 - x)^7*(1 + x)^5). - Colin Barker, Jan 11 2019

A267784 Number of nX4 0..1 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.

Original entry on oeis.org

15, 225, 1056, 5081, 14956, 44742, 102954, 238813, 472174, 935890, 1669256, 2973801, 4921484, 8116406, 12686802, 19733869, 29485150, 43804354, 63094592, 90326137, 126206748, 175240166, 238647082, 322974141, 430276638, 569730226

Offset: 1

R. H. Hardin, Jan 20 2016

nonn

Column 4 of A267788.

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

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

Cf. A267788.

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

A267785 Number of nX5 0..1 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.

Original entry on oeis.org

28, 784, 5004, 34173, 122770, 460598, 1234716, 3380133, 7591852, 17155354, 34199992, 67950531, 124234066, 225071767, 385178280, 650960709, 1057141184, 1692165611, 2633057784, 4034703001, 6058479774, 8956146100, 13048584888

Offset: 1

R. H. Hardin, Jan 20 2016

nonn

Column 5 of A267788.

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

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

Cf. A267788.

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

A267786 Number of nX6 0..1 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.

Original entry on oeis.org

51, 2601, 22110, 211555, 912667, 4245574, 13126812, 42012357, 106570618, 272337497, 604928942, 1330976409, 2684633348, 5309403837, 9945849384, 18160668025, 32072067434, 55037496090, 92610159756, 151216855067

Offset: 1

R. H. Hardin, Jan 20 2016

nonn

Column 6 of A267788.

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

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

Cf. A267788.

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

A267787 Number of n X 7 0..1 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.

Original entry on oeis.org

92, 8464, 94554, 1262760, 6484282, 37282358, 132388406, 494152778, 1413416776, 4075463059, 10085356510, 24517514814, 54597894654, 117609577403, 241451087194, 475306643051, 914206899594, 1678474455790, 3059283203316

Offset: 1

R. H. Hardin, Jan 20 2016

nonn

Column 7 of A267788.

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

R. H. Hardin, Table of n, a(n) for n = 1..46

Cf. A267788.

A267789 Number of 3Xn 0..1 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.

Original entry on oeis.org

6, 36, 216, 1056, 5004, 22110, 94554, 391314, 1582824, 6278400, 24520080, 94523100, 360449622, 1361930880, 5105718624, 19011717024, 70378031196, 259193957658, 950281765146, 3470120581542, 12626754295920, 45799000309176

Offset: 1

R. H. Hardin, Jan 20 2016

nonn

Row 3 of A267788.

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

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

Cf. A267788.

Empirical: a(n) = 8*a(n-1) -12*a(n-2) -40*a(n-3) +80*a(n-4) +100*a(n-5) -134*a(n-6) -160*a(n-7) +8*a(n-8) +48*a(n-9) +8*a(n-10) -4*a(n-11) -a(n-12)

A267790 Number of 4Xn 0..1 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.

Original entry on oeis.org

9, 81, 729, 5081, 34173, 211555, 1262760, 7263481, 40755550, 223936008, 1210708628, 6459502002, 34095465344, 178380596163, 926424208370, 4781950926795, 24555731443566, 125543243787981, 639444488484051

Offset: 1

R. H. Hardin, Jan 20 2016

nonn

Row 4 of A267788.

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

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

Cf. A267788.

Empirical recurrence of order 93 (see link above)

A267791 Number of 5Xn 0..1 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.

Original entry on oeis.org

12, 144, 1728, 14956, 122770, 912667, 6484282, 44116906, 291598056, 1881990170, 11929079568, 74523706754, 460243376586, 2816128573885, 17102667014556, 103235741899301, 620066832024346, 3709209084709809, 22114443898367338

Offset: 1

R. H. Hardin, Jan 20 2016

nonn

Row 5 of A267788.

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

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

Cf. A267788.

A267792 Number of 6Xn 0..1 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.

Original entry on oeis.org

16, 256, 4096, 44742, 460598, 4245574, 37282358, 312449872, 2540944329, 20159382751, 157057696653, 1206033664639, 9157807121914, 68919889770321, 515005090966233, 3826399784437020, 28297799131011777, 208480992623889542

Offset: 1

R. H. Hardin, Jan 20 2016

nonn

Row 6 of A267788.

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

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

Cf. A267788.

A267793 Number of 7Xn 0..1 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.

Original entry on oeis.org

20, 400, 8000, 102954, 1234716, 13126812, 132388406, 1271314080, 11831791048, 107394660068, 957081246026, 8408442934462, 73058790472446, 629272663467509, 5382292144211926, 45776729662954256, 387532677732355814

Offset: 1

R. H. Hardin, Jan 20 2016

nonn

Row 7 of A267788.

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

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

Cf. A267788.

cp's OEIS Frontend

A267783 Number of n X 3 0..1 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.

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A267784 Number of nX4 0..1 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.

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A267785 Number of nX5 0..1 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.

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A267786 Number of nX6 0..1 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.

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A267787 Number of n X 7 0..1 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.

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A267789 Number of 3Xn 0..1 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.

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A267790 Number of 4Xn 0..1 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.

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A267791 Number of 5Xn 0..1 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.

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A267792 Number of 6Xn 0..1 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

A267793 Number of 7Xn 0..1 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.

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