A233239 -id:A233239 - cp's OEIS frontend

A233234 Number of n X 3 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally or antidiagonally, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order.

6, 271, 18744, 1409129, 107709266, 8259321811, 633724470764, 48630297616989, 3731839458899046, 286378755661153351, 21976523359713989184, 1686464664689831932049, 129418247854721047490426

Offset: 1

R. H. Hardin, Dec 06 2013

nonn

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

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

Column 3 of A233239.

Empirical: a(n) = 93*a(n-1) - 1273*a(n-2) + 1943*a(n-3) - 882*a(n-4) + 120*a(n-5).

Empirical g.f.: x*(6 - 287*x + 1179*x^2 - 738*x^3 + 120*x^4) / ((1 - x)*(1 - 15*x + 6*x^2)*(1 - 77*x + 20*x^2)). - Colin Barker, Oct 10 2018

A233235 Number of nX4 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally or antidiagonally, 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, 4504, 1212549, 338046654, 94601758339, 26484848685044, 7415057313896849, 2076029517168733114, 581236325493128357679, 162731637919752077883024, 45560789933070584072872669, 12755882058893937419188740854

Offset: 1

R. H. Hardin, Dec 06 2013

nonn

Column 4 of A233239

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

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

Empirical: a(n) = 311*a(n-1) -8722*a(n-2) +10022*a(n-3) -1645*a(n-4) +35*a(n-5)

A233236 Number of nX5 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally or antidiagonally, 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, 79201, 79794804, 81477098771, 83262848013541, 85091928322674062, 86961450397919224924, 88872063259416031223789, 90824654832238039301050323, 92820146494600717297847450500, 94859480738492450602225494197250

Offset: 1

R. H. Hardin, Dec 06 2013

nonn

Column 5 of A233239

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

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

A233237 Number of nX6 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally or antidiagonally, 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, 1419889, 5267525102, 19645569858350, 73288254642491677, 273407904115337411320, 1019972250198681748495759, 3805096786515479736762977469, 14195250676420681381695428272598

Offset: 1

R. H. Hardin, Dec 06 2013

nonn

Column 6 of A233239

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

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

A233238 Number of nX7 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally or antidiagonally, 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, 25622596, 347931872810, 4737126288340919, 64509967001742933388, 878515500504975619593232, 11963921132630138069523033663, 162928803282037857377835121784933, 2218820778125412343542517310100092932

Offset: 1

R. H. Hardin, Dec 06 2013

nonn

Column 7 of A233239

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

R. H. Hardin, Table of n, a(n) for n = 1..148

A233240 Number of 2 X n 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally or antidiagonally, 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

3, 19, 271, 4504, 79201, 1419889, 25622596, 463384804, 8386411051, 151815188839, 2748457460746, 49759306786354, 900872721644401, 16309994546050789, 295287194569964896, 5346081195735699904, 96789118201657881751

Offset: 1

R. H. Hardin, Dec 06 2013

nonn

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

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

Row 2 of A233239.

Empirical: a(n) = 23*a(n-1) - 81*a(n-2) - 143*a(n-3) + 82*a(n-4) + 120*a(n-5) for n>6.

Empirical g.f.: x*(3 - 50*x + 77*x^2 + 239*x^3 + 31*x^4 - 75*x^5) / ((1 - x)*(1 + x)*(1 - 6*x)*(1 - 17*x - 20*x^2)). - Colin Barker, Oct 10 2018

A233241 Number of 3Xn 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally or antidiagonally, 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

11, 313, 18744, 1212549, 79794804, 5267525102, 347931872810, 22984197561232, 1518355064369787, 100304170431867107, 6626206197404526693, 437734684222631005909, 28917249596515421269798, 1910306307000347264023968

Offset: 1

R. H. Hardin, Dec 06 2013

nonn

Row 3 of A233239

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

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

Empirical: a(n) = 79*a(n-1) -844*a(n-2) -956*a(n-3) +16385*a(n-4) -10631*a(n-5) -45620*a(n-6) +63092*a(n-7) -24384*a(n-8) +2880*a(n-9) for n>10

A233242 Number of 4Xn 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally or antidiagonally, 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

48, 6046, 1409129, 338046654, 81477098771, 19645569858350, 4737126288340919, 1142266120892160404, 275435466571576824843, 66415959358015599726176, 16014929880282766959784607, 3861692004518641314432355642

Offset: 1

R. H. Hardin, Dec 06 2013

nonn

Row 4 of A233239

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

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

Empirical: a(n) = 261*a(n-1) -3894*a(n-2) -228438*a(n-3) +2689194*a(n-4) +57510040*a(n-5) -258059784*a(n-6) -1989997012*a(n-7) +8744106144*a(n-8) +8456810274*a(n-9) -90329150058*a(n-10) +156901744724*a(n-11) -57108648251*a(n-12) -126001313693*a(n-13) +153480763210*a(n-14) -36878799916*a(n-15) -35471311024*a(n-16) +25150473568*a(n-17) -4487086464*a(n-18) -393804288*a(n-19) +117669888*a(n-20) +6635520*a(n-21) for n>22

A233243 Number of 5Xn 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally or antidiagonally, 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

236, 123352, 107709266, 94601758339, 83262848013541, 73288254642491677, 64509967001742933388, 56783249139903123029508, 49982026556098478471557939, 43995424674982065897599967684, 38725869104364346871720595426476

Offset: 1

R. H. Hardin, Dec 06 2013

nonn

Row 5 of A233239

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

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

A233244 Number of 6Xn 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally or antidiagonally, 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

1248, 2565169, 8259321811, 26484848685044, 85091928322674062, 273407904115337411320, 878515500504975619593232, 2822866314474146429532816501, 9070511857884868729790040866912

Offset: 1

R. H. Hardin, Dec 06 2013

nonn

Row 6 of A233239

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

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

cp's OEIS Frontend

A233234 Number of n X 3 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally or antidiagonally, 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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A233235 Number of nX4 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally or antidiagonally, 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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A233236 Number of nX5 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally or antidiagonally, 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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A233237 Number of nX6 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally or antidiagonally, 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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A233238 Number of nX7 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally or antidiagonally, 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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A233240 Number of 2 X n 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally or antidiagonally, 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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A233241 Number of 3Xn 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally or antidiagonally, 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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A233242 Number of 4Xn 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally or antidiagonally, 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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A233243 Number of 5Xn 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally or antidiagonally, 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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A233244 Number of 6Xn 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally or antidiagonally, 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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