A221255 -id:A221255 - cp's OEIS frontend

A221251 Number of nX4 arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, with no occupancy greater than 2.

4, 81, 2116, 58081, 1612900, 44903401, 1250753956, 34842328921, 970622980804, 27039303204489, 753252725702500, 20983889126032561, 584562920742585316, 16284579460194091201, 453650957002812576484, 12637673040690140943889

Offset: 1

R. H. Hardin Jan 06 2013

nonn

Column 4 of A221255

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

R. H. Hardin, Table of n, a(n) for n = 1..23

Empirical: a(n) = 39*a(n-1) -356*a(n-2) +1365*a(n-3) -2739*a(n-4) +2904*a(n-5) -1683*a(n-6) +573*a(n-7) -116*a(n-8) +15*a(n-9) -a(n-10)

A221252 Number of nX5 arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, with no occupancy greater than 2.

Original entry on oeis.org

8, 392, 22268, 1319409, 78633756, 4684821704, 278802326676, 16577412686597, 985111139474492, 58519095228020616, 3475483474225610814, 206383882956736627050, 12254681900155763390448, 727625190336114167472388

Offset: 1

R. H. Hardin Jan 06 2013

nonn

Column 5 of A221255

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

R. H. Hardin, Table of n, a(n) for n = 1..43

A221253 Number of nX6 arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, with no occupancy greater than 2.

Original entry on oeis.org

16, 2500, 488601, 103489929, 22466712321, 4919350997521, 1080371161000000, 237502965724417600, 52227958295629168900, 11486303574511411132081, 2526218624607638969433649, 555604441977129578423379025

Offset: 1

R. H. Hardin Jan 06 2013

nonn

Column 6 of A221255

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

R. H. Hardin, Table of n, a(n) for n = 1..13

A221254 Number of nX7 arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, with no occupancy greater than 2.

Original entry on oeis.org

32, 14112, 7356420, 4085800416, 2294073688498, 1286684357154700, 720107530988047980, 402418492897385719539, 224687866990231144007434, 125391176411370052357764435, 69957473447300728012460144928

Offset: 1

R. H. Hardin Jan 06 2013

nonn

Column 7 of A221255

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

R. H. Hardin, Table of n, a(n) for n = 1..12

A221256 Number of 2 X n arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, with no occupancy greater than 2.

Original entry on oeis.org

0, 4, 8, 81, 392, 2500, 14112, 83521, 484128, 2829124, 16473800, 96059601, 559785800, 3262922884, 19017180288, 110841719041, 646029804672, 3765346202500, 21946028005832, 127910874833361, 745519107896648

Offset: 1

R. H. Hardin, Jan 06 2013

nonn

Row 2 of A221255.

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

R. H. Hardin, Table of n, a(n) for n = 1..41

Cf. A221255.

Empirical: a(n) = 6*a(n-1) + 6*a(n-2) - 42*a(n-3) + 42*a(n-5) - 6*a(n-6) - 6*a(n-7) + a(n-8).

Empirical g.f.: x^2*(4 - 16*x + 9*x^2 + 26*x^3 - 2*x^4 - 6*x^5 + x^6) / ((1 - x)*(1 + x)*(1 - 6*x + x^2)*(1 + 2*x - x^2)*(1 - 2*x - x^2)). - Colin Barker, Aug 04 2018

A221257 Number of 3Xn arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, with no occupancy greater than 2.

Original entry on oeis.org

0, 16, 30, 2116, 22268, 488601, 7356420, 132273001, 2175160988, 37343243536, 627439570380, 10652755988736, 179923226827008, 3046558564618321, 51520912019433840, 871812703964410321, 14747896839403221578

Offset: 1

R. H. Hardin Jan 06 2013

nonn

Row 3 of A221255

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

R. H. Hardin, Table of n, a(n) for n = 1..36

Empirical: a(n) = 21*a(n-1) +21*a(n-2) -1891*a(n-3) +4713*a(n-4) +31527*a(n-5) -98973*a(n-6) -92217*a(n-7) +299577*a(n-8) -27117*a(n-9) +103383*a(n-10) -393*a(n-11) +6211*a(n-12) +69*a(n-13) +69*a(n-14) +a(n-15) for n>18

A221258 Number of 4Xn arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, with no occupancy greater than 2.

Original entry on oeis.org

0, 64, 112, 58081, 1319409, 103489929, 4085800416, 226720727104, 10445351809532, 530909339760900, 25591483232781872, 1268920553028932644, 61970903049203536750, 3051063081822723807844, 149565983362653741790314

Offset: 1

R. H. Hardin Jan 06 2013

nonn

Row 4 of A221255

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

R. H. Hardin, Table of n, a(n) for n = 1..16

A221259 Number of 5Xn arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, with no occupancy greater than 2.

Original entry on oeis.org

0, 256, 418, 1612900, 78633756, 22466712321, 2294073688498, 399487764096100, 51031822108216122, 7730096571419434884, 1061888266253693915768, 154122481474602369093121, 21681358901642544133423968

Offset: 1

R. H. Hardin Jan 06 2013

nonn

Row 5 of A221255

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

R. H. Hardin, Table of n, a(n) for n = 1..15

A221250 Number of n X n arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, with no occupancy greater than 2.

Original entry on oeis.org

0, 4, 30, 58081, 78633756, 4919350997521, 720107530988047980, 2283974100099963226425600

Offset: 1

R. H. Hardin Jan 06 2013

nonn

Diagonal of A221255

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

A221260 Number of 6Xn arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, with no occupancy greater than 2.

Original entry on oeis.org

0, 1024, 1560, 44903401, 4684821704, 4919350997521, 1286684357154700, 711683286892712289, 249788326721013262468, 113635514869793774013025, 44202928096066452637659216

Offset: 1

R. H. Hardin Jan 06 2013

nonn

Row 6 of A221255

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

cp's OEIS Frontend

A221251 Number of nX4 arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, with no occupancy greater than 2.

Views

Author

Keywords

Comments

Examples

Links

Formula

A221252 Number of nX5 arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, with no occupancy greater than 2.

Views

Author

Keywords

Comments

Examples

Links

A221253 Number of nX6 arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, with no occupancy greater than 2.

Views

Author

Keywords

Comments

Examples

Links

A221254 Number of nX7 arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, with no occupancy greater than 2.

Views

Author

Keywords

Comments

Examples

Links

A221256 Number of 2 X n arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, with no occupancy greater than 2.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Formula

A221257 Number of 3Xn arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, with no occupancy greater than 2.

Views

Author

Keywords

Comments

Examples

Links

Formula

A221258 Number of 4Xn arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, with no occupancy greater than 2.

Views

Author

Keywords

Comments

Examples

Links

A221259 Number of 5Xn arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, with no occupancy greater than 2.

Views

Author

Keywords

Comments

Examples

Links

A221250 Number of n X n arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, with no occupancy greater than 2.

Views

Author

Keywords

Comments

Examples

A221260 Number of 6Xn arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, with no occupancy greater than 2.

Views

Author

Keywords

Comments

Examples