A233230 -id:A233230 - cp's OEIS frontend

A233224 Number of n X 2 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally, 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, 14, 174, 2541, 39203, 616454, 9757236, 154782591, 2457231917, 39019481264, 619661480574, 9841023112761, 156289684281383, 2482114628442074, 39419748363507816, 626045687116778451, 9942561014884521857

Offset: 1

R. H. Hardin, Dec 06 2013

nonn

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

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

Column 2 of A233230.

Empirical: a(n) = 21*a(n-1) - 79*a(n-2) - 41*a(n-3) + 72*a(n-4) + 28*a(n-5).

Empirical g.f.: x*(2 - 28*x + 38*x^2 + 75*x^3 + 18*x^4) / ((1 - x)*(1 - 5*x - 2*x^2)*(1 - 15*x - 14*x^2)). - Colin Barker, Oct 10 2018

A233225 Number of nX3 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally, 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, 174, 8231, 420948, 21895530, 1142726121, 59679029456, 3117164734533, 162820623245643, 8504746957840386, 444236096357832461, 23204188477204907670, 1212045554583039193836, 63309882191615788539747

Offset: 1

R. H. Hardin, Dec 06 2013

nonn

Column 3 of A233230

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

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

Empirical: a(n) = 66*a(n-1) -748*a(n-2) +1422*a(n-3) +5006*a(n-4) -16598*a(n-5) +10288*a(n-6) +8658*a(n-7) -10189*a(n-8) +2228*a(n-9) -132*a(n-10)

A233226 Number of nX4 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally, 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, 2541, 420948, 72049266, 12389989684, 2131764323784, 366805442634477, 63115455429961173, 10860156414181066717, 1868686679256045815893, 321541405170806242604768, 55327025424814353393541818

Offset: 1

R. H. Hardin, Dec 06 2013

nonn

Column 4 of A233230

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

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

Empirical: a(n) = 208*a(n-1) -6194*a(n-2) -6657*a(n-3) +1510366*a(n-4) -4909922*a(n-5) -83197258*a(n-6) +434631988*a(n-7) +327946201*a(n-8) -4201117068*a(n-9) +1899947531*a(n-10) +14849526767*a(n-11) -12775127323*a(n-12) -22240589415*a(n-13) +23935227067*a(n-14) +13900628187*a(n-15) -18073202257*a(n-16) -2644553309*a(n-17) +5223316598*a(n-18) -76874653*a(n-19) -517583738*a(n-20) +40060322*a(n-21) +4525360*a(n-22) -152800*a(n-23)

A233227 Number of nX5 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally, 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, 39203, 21895530, 12389989684, 7027777888700, 3987381898274165, 2262465262533395122, 1283750879072515499846, 728417859359640269016202, 413314485961750753937325815, 234520446849081354380794520582

Offset: 1

R. H. Hardin, Dec 06 2013

nonn

Column 5 of A233230

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

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

A233228 Number of nX6 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally, 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, 616454, 1142726121, 2131764323784, 3987381898274165, 7462045099033787721, 13966565723905519312347, 26141937448057102691381982, 48931705939631684079610274144, 91589174857476172550555533830040

Offset: 1

R. H. Hardin, Dec 06 2013

nonn

Column 6 of A233230

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

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

A233229 Number of nX7 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally, 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, 9757236, 59679029456, 366805442634477, 2262465262533395122, 13966565723905519312347, 86240738075580821512843673, 532562944711463255634918419168, 3288824486303682666484477919564597

Offset: 1

R. H. Hardin, Dec 06 2013

nonn

Column 7 of A233230

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

R. H. Hardin, Table of n, a(n) for n = 1..90

cp's OEIS Frontend

A233224 Number of n X 2 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally, 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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A233225 Number of nX3 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally, 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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A233226 Number of nX4 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally, 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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A233227 Number of nX5 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally, 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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A233228 Number of nX6 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally, 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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A233229 Number of nX7 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally, 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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