A233147 -id:A233147 - cp's OEIS frontend

A233141 Number of n X 2 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order.

2, 16, 225, 3727, 65120, 1158334, 20726079, 371568349, 6665506622, 119595908140, 2145992981277, 38507882245867, 690993582249116, 12399363162575962, 222497465035339899, 3992554551056534713, 71643481793789018234

Offset: 1

R. H. Hardin, Dec 04 2013

nonn

			Some solutions for n=5:
..0..1....0..0....0..0....0..1....0..1....0..1....0..0....0..1....0..1....0..1
..2..1....1..1....1..2....2..2....0..1....1..0....1..2....2..0....2..5....0..2
..2..2....2..1....5..4....1..2....0..1....2..0....0..2....2..1....5..5....4..2
..1..2....5..1....3..3....0..1....0..2....4..0....0..0....5..1....2..2....5..2
..2..1....1..0....4..5....3..5....1..1....4..2....3..0....2..1....2..5....2..1

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

Column 2 of A233147.

Empirical: a(n) = 25*a(n-1) - 134*a(n-2) + 134*a(n-3) - 25*a(n-4) +a(n-5).

Empirical g.f.: x*(2 - 34*x + 93*x^2 - 22*x^3 + x^4) / ((1 - x)*(1 - 18*x + x^2)*(1 - 6*x + x^2)). - Colin Barker, Oct 08 2018

A233142 Number of nX3 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order.

Original entry on oeis.org

6, 225, 13259, 845917, 54777233, 3556749764, 231058112982, 15011638934832, 975308641633714, 63366149608139911, 4116923504141804447, 267478155043610402011, 17378162265573039881347, 1129066127467454727403426

Offset: 1

R. H. Hardin, Dec 04 2013

nonn

Column 3 of A233147

			Some solutions for n=3
..0..0..1....0..1..0....0..1..1....0..1..1....0..1..0....0..1..1....0..1..1
..0..1..1....2..1..2....2..0..3....0..2..5....1..0..0....1..2..2....2..0..1
..0..1..2....2..2..1....2..4..4....4..5..1....2..0..3....1..5..2....1..1..5

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

Empirical: a(n) = 84*a(n-1) -1342*a(n-2) +7132*a(n-3) -17820*a(n-4) +24364*a(n-5) -19790*a(n-6) +9748*a(n-7) -2659*a(n-8) +272*a(n-9) +12*a(n-10) for n>11

A233143 Number of nX4 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order.

Original entry on oeis.org

23, 3727, 845917, 198313130, 46648134615, 10976545771938, 2582927810338210, 607799571521107132, 143023917159921251486, 33655571006177475521033, 7919636704985653736563452, 1863603667625659594920136702

Offset: 1

R. H. Hardin, Dec 04 2013

nonn

Column 4 of A233147

			Some solutions for n=2
..0..1..2..1....0..1..0..4....0..0..1..0....0..1..1..2....0..1..0..1
..3..5..2..2....1..1..0..2....2..1..0..0....3..5..1..1....1..1..2..5

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

Empirical: a(n) = 310*a(n-1) -19831*a(n-2) +567817*a(n-3) -9045239*a(n-4) +90083339*a(n-5) -602192427*a(n-6) +2821467285*a(n-7) -9491948537*a(n-8) +23238614757*a(n-9) -41808469376*a(n-10) +55264690349*a(n-11) -51692358938*a(n-12) +30252784146*a(n-13) -5648166713*a(n-14) -6372298968*a(n-15) +4876472605*a(n-16) -104115359*a(n-17) -1424089179*a(n-18) +752282173*a(n-19) -147512539*a(n-20) -22839*a(n-21) +3406138*a(n-22) -81513*a(n-23) -44431*a(n-24) -3578*a(n-25) +468*a(n-26) +81*a(n-27) for n>28

A233144 Number of nX5 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order.

Original entry on oeis.org

99, 65120, 54777233, 46648134615, 39758352524643, 33888199682535539, 28884899976580380572, 24620306768807426333200, 20985343167021965911162917, 17887048875466336149601526265, 15246189454569664730345411176252

Offset: 1

R. H. Hardin, Dec 04 2013

nonn

Column 5 of A233147

			Some solutions for n=2
..0..1..0..4..2....0..1..2..5..4....0..1..2..1..2....0..1..2..4..5
..3..0..3..4..0....1..0..2..5..2....1..1..1..0..2....0..1..0..2..1

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

A233145 Number of nX6 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order.

Original entry on oeis.org

452, 1158334, 3556749764, 10976545771938, 33888199682535539, 104628720219120084935, 323040050513644831673711, 997383803217605432845939113, 3079415768120334362937355766441

Offset: 1

R. H. Hardin, Dec 04 2013

nonn

Column 6 of A233147

			Some solutions for n=2
..0..0..1..2..1..1....0..0..1..2..4..5....0..0..0..1..0..0....0..0..1..1..1..2
..1..0..0..2..5..3....1..1..0..2..4..3....2..1..1..0..3..4....2..1..0..2..0..0

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

A233146 Number of nX7 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order.

Original entry on oeis.org

2136, 20726079, 231058112982, 2582927810338210, 28884899976580380572, 323040050513644831673711, 3612824935976380302597462081, 40405307424531049882937388071029, 451887251397949341093459133981852269

Offset: 1

R. H. Hardin, Dec 04 2013

nonn

Column 7 of A233147

			Some solutions for n=2
..0..0..0..1..0..2..4....0..0..0..1..5..2..1....0..0..0..1..2..5..4
..0..0..0..0..4..0..2....3..0..3..1..1..1..3....3..0..3..5..4..2..5

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

A233140 Number of n X n 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order.

Original entry on oeis.org

1, 16, 13259, 198313130, 39758352524643, 104628720219120084935, 3612824935976380302597462081, 1636876887880533270191858718052988313

Offset: 1

R. H. Hardin, Dec 04 2013

nonn

Diagonal of A233147

			Some solutions for n=3
..0..0..1....0..1..2....0..1..2....0..0..1....0..1..2....0..1..5....0..1..5
..4..0..1....3..0..4....2..0..1....4..2..0....1..5..4....1..5..2....2..2..4
..2..1..1....0..4..0....1..0..0....0..4..4....5..5..3....5..1..5....5..4..5

cp's OEIS Frontend

A233141 Number of n X 2 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order.

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A233142 Number of nX3 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order.

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A233143 Number of nX4 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order.

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A233144 Number of nX5 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order.

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A233145 Number of nX6 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order.

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A233146 Number of nX7 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order.

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A233140 Number of n X n 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order.

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