A267974 -id:A267974 - cp's OEIS frontend

A267975 Number of 1 X n 0..3 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.

4, 16, 64, 250, 964, 3674, 13868, 51917, 192980, 712868, 2618876, 9573915, 34845780, 126322410, 456285828, 1642687662, 5895922368, 21102304252, 75332038300, 268275675007, 953247943192, 3380004168904, 11961143709736, 42249741430325

Offset: 1

R. H. Hardin, Jan 23 2016

nonn

Row 1 of A267974.

			Some solutions for n=8:
..0..0..3..1..1..2..2..1....3..2..0..1..3..2..1..1....2..1..2..2..0..1..2..1

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

Cf. A267974.

Empirical: a(n) = 12*a(n-1) - 50*a(n-2) + 72*a(n-3) + 21*a(n-4) - 72*a(n-5) - 50*a(n-6) - 12*a(n-7) -a(n-8).

Empirical g.f.: x*(4 - 32*x + 72*x^2 - 6*x^3 - 72*x^4 - 50*x^5 - 12*x^6 - x^7) / (1 - 3*x - x^2)^4. - Colin Barker, Feb 26 2018

A267971 Number of nX3 0..3 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

64, 4096, 216000, 10941048, 519718464, 23689358848, 1040125019968, 44297983526887, 1837365396992000, 74486671360299008, 2959536976199968256, 115510695146966939968, 4436989542752316253696, 167999383203780355895296

Offset: 1

R. H. Hardin, Jan 23 2016

nonn

Column 3 of A267974.

			Some solutions for n=2
..0..3..2....0..1..2....2..1..3....3..2..3....3..2..1....2..3..0....3..1..3
..0..3..2....1..1..0....3..2..3....2..0..1....3..1..2....3..3..1....1..0..0

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 40

Cf. A267974.

Empirical recurrence of order 40 (see link above)

A267976 Number of 2Xn 0..3 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, 62500, 929296, 13498276, 192321424, 2695374889, 37241280400, 508180785424, 6858511503376, 91659848427225, 1214228383808400, 15957351268208100, 208196756833645584, 2698422754887026244

Offset: 1

R. H. Hardin, Jan 23 2016

nonn

Row 2 of A267974.

			Some solutions for n=4
..0..3..3..2....0..3..3..2....0..2..1..0....1..0..3..1....1..0..2..0
..1..2..0..0....1..0..2..0....3..0..1..3....1..3..1..2....3..2..1..1

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

Cf. A267974.

Empirical: a(n) = 70*a(n-1) -2030*a(n-2) +30793*a(n-3) -246680*a(n-4) +794920*a(n-5) +1553979*a(n-6) -13039450*a(n-7) -13949950*a(n-8) +88507965*a(n-9) +242460400*a(n-10) +242460400*a(n-11) +88507965*a(n-12) -13949950*a(n-13) -13039450*a(n-14) +1553979*a(n-15) +794920*a(n-16) -246680*a(n-17) +30793*a(n-18) -2030*a(n-19) +70*a(n-20) -a(n-21)

A267977 Number of 3Xn 0..3 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

60, 3600, 216000, 12067722, 648144348, 33600202086, 1691726672094, 83078866656672, 3993019853352132, 188338933978296900, 8737015871231173194, 399355062781386269430, 18013039522804400997948, 802791844156171633174662

Offset: 1

R. H. Hardin, Jan 23 2016

nonn

Row 3 of A267974.

			Some solutions for n=2
..1..0....1..2....0..3....1..1....3..2....1..0....3..0....3..2....2..0....3..1
..0..2....2..2....1..1....3..2....3..2....3..3....1..3....2..2....0..1....3..0
..3..2....1..0....3..3....0..2....1..3....0..0....0..0....3..3....0..3....2..3

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

Cf. A267974.

A267972 Number of nX4 0..3 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

250, 62500, 12067722, 2208460532, 370962601314, 58977586280183, 8920181825287255, 1295459314730053526, 181620283990314798496, 24698703052360112375559, 3269943855458863743367027

Offset: 1

R. H. Hardin, Jan 23 2016

nonn

Column 4 of A267974.

			Some solutions for n=2
..0..1..0..3....0..1..0..0....3..2..1..1....2..0..3..0....0..3..2..0
..3..1..3..0....0..3..1..2....2..3..2..2....0..3..2..1....1..2..2..0

R. H. Hardin, Table of n, a(n) for n = 1..42

Cf. A267974.

A267978 Number of 4Xn 0..3 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

222, 49284, 10941048, 2208460532, 422888259007, 77239556027716, 13568675256814069, 2305686585583566677, 380719989364128125411, 61309427889879303297626, 9657019976002416918553516

Offset: 1

R. H. Hardin, Jan 23 2016

nonn

Row 4 of A267974.

			Some solutions for n=2
..2..2....3..2....1..0....2..3....0..1....3..0....3..2....3..0....2..2....0..0
..3..2....1..2....3..0....2..0....3..1....2..2....2..3....1..0....1..3....1..0
..3..1....1..3....1..1....1..0....2..2....1..1....2..0....0..1....0..2....2..1
..2..0....3..2....1..1....2..2....0..0....0..2....3..2....0..1....2..1....0..2

R. H. Hardin, Table of n, a(n) for n = 1..45

Cf. A267974.

A267973 Number of nX5 0..3 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

964, 929296, 648144348, 422888259007, 247835569655956, 135605581008614210, 69710148917754637644, 34062642857359171937976

Offset: 1

R. H. Hardin, Jan 23 2016

nonn

Column 5 of A267974.

			Some solutions for n=1
..3..2..3..3..2....0..1..0..2..3....0..0..3..3..2....0..0..3..2..1

Cf. A267974.

A267979 Number of 5Xn 0..3 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

804, 646416, 519718464, 370962601314, 247835569655956, 156061390092021574, 93595257134450725384, 53846326808056805339811, 29887153373333642722563504

Offset: 1

R. H. Hardin, Jan 23 2016

nonn

Row 5 of A267974.

			Some solutions for n=1
..3....2....0....2....3....3....3....3....0....2....1....2....0....1....3....0
..2....1....2....0....1....2....2....3....2....0....3....1....3....3....0....0
..1....0....0....3....3....0....3....2....3....3....2....2....2....3....0....2
..1....3....1....2....3....3....3....1....2....2....1....1....1....0....1....1
..0....1....1....1....1....2....1....3....3....2....3....0....0....3....1....0

Cf. A267974.

cp's OEIS Frontend

A267975 Number of 1 X n 0..3 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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A267971 Number of nX3 0..3 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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A267976 Number of 2Xn 0..3 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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A267977 Number of 3Xn 0..3 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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A267972 Number of nX4 0..3 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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A267978 Number of 4Xn 0..3 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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A267973 Number of nX5 0..3 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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Examples

Crossrefs

A267979 Number of 5Xn 0..3 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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