A278727 -id:A278727 - cp's OEIS frontend

A278721 Number of nX2 0..3 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order.

10, 60, 275, 1050, 3492, 10401, 28288, 71266, 168155, 374868, 795158, 1614184, 3151188, 5939970, 10848924, 19256291, 33301148, 56236656, 92919425, 150477730, 239211960, 373793355, 574842060, 870983100, 1301499381, 1919724600

Offset: 1

R. H. Hardin, Nov 27 2016

nonn

Column 2 of A278727.

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

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

Cf. A278727.

Empirical: a(n) = (1/479001600)*n^12 + (1/7257600)*n^11 + (1/248832)*n^10 + (103/1451520)*n^9 + (12631/14515200)*n^8 + (2663/345600)*n^7 + (433049/8709120)*n^6 + (342073/1451520)*n^5 + (1269197/1555200)*n^4 + (3605419/1814400)*n^3 + (521131/166320)*n^2 + (997/360)*n + 1

A278722 Number of nX3 0..3 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order.

Original entry on oeis.org

20, 275, 3232, 33466, 306070, 2487889, 18151220, 120104810, 727684612, 4070893254, 21181152380, 103146867706, 472709673984, 2048611972127, 8431440391174, 33079800818118, 124138709933301, 446936241587393

Offset: 1

R. H. Hardin, Nov 27 2016

nonn

Column 3 of A278727.

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical polynomial of degree 45

Cf. A278727.

Empirical polynomial of degree 45 (see link above)

A278723 Number of nX4 0..3 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order.

Original entry on oeis.org

35, 1050, 33466, 1058494, 30942600, 815294800, 19328645044, 414671691083, 8109321869307, 145580441811727, 2414555760264316, 37210586178295489, 535549333443944707, 7231147745218833289, 91971617342903492615

Offset: 1

R. H. Hardin, Nov 27 2016

nonn

Column 4 of A278727.

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

R. H. Hardin, Table of n, a(n) for n = 1..133

Cf. A278727.

A278724 Number of nX5 0..3 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order.

Original entry on oeis.org

56, 3492, 306070, 30942600, 3062815568, 279368748599, 23161560633508, 1747727428639023, 120668752462156921, 7668150385606788285, 451008119329650593967, 24676136165708649853590, 1261674436562343441025436

Offset: 1

R. H. Hardin, Nov 27 2016

nonn

Column 5 of A278727.

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

R. H. Hardin, Table of n, a(n) for n = 1..53

Cf. A278727.

A278725 Number of n X 6 0..3 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order.

Original entry on oeis.org

84, 10401, 2487889, 815294800, 279368748599, 90462380211862, 26947618206791521, 7361981179311574929, 1850980180963910285369, 430395479744245915185211, 93005966539515246802755901

Offset: 1

R. H. Hardin, Nov 27 2016

nonn

Column 6 of A278727.

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

R. H. Hardin, Table of n, a(n) for n = 1..19

Cf. A278727.

A278726 Number of nX7 0..3 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order.

Original entry on oeis.org

120, 28288, 18151220, 19328645044, 23161560633508, 26947618206791521, 29201160476766771330, 29243132244492451384902

Offset: 1

R. H. Hardin, Nov 27 2016

nonn

Column 7 of A278727.

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

Cf. A278727.

cp's OEIS Frontend

A278721 Number of nX2 0..3 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order.

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A278722 Number of nX3 0..3 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order.

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A278723 Number of nX4 0..3 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order.

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A278724 Number of nX5 0..3 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order.

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A278725 Number of n X 6 0..3 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order.

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A278726 Number of nX7 0..3 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order.

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