A221200 -id:A221200 - cp's OEIS frontend

A221196 Number of n X 3 arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, with no occupancy greater than 2.

2, 10, 46, 212, 976, 4492, 20672, 95128, 437752, 2014400, 9269632, 42655888, 196288736, 903257824, 4156502752, 19126892096, 88015820416, 405020564416, 1863774679808, 8576493051520, 39466269101440, 181611106939904

Offset: 1

R. H. Hardin, Jan 04 2013

nonn

Column 3 of A221200.

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

R. H. Hardin, Table of n, a(n) for n = 1..33

Cf. A221200.

Empirical: a(n) = 6*a(n-1) - 6*a(n-2) - 2*a(n-3).

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

A221197 Number of n X 4 arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, with no occupancy greater than 2.

Original entry on oeis.org

4, 196, 9025, 427716, 20277009, 961434049, 45583531009, 2161117565476, 102456463038084, 4857310924636921, 230276948274214416, 10917021188851445889, 517556134069075087921, 24536386370101531606209

Offset: 1

R. H. Hardin, Jan 04 2013

nonn

Column 4 of A221200.

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

R. H. Hardin, Table of n, a(n) for n = 1..25

Cf. A221200.

A221198 Number of n X 5 arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, with no occupancy greater than 2.

Original entry on oeis.org

8, 720, 58700, 4984812, 433687328, 38397901048, 3437301520640, 309729304158392, 28014137861507600, 2539060159927062472, 230384024072002424484, 20916257751298954797560, 1899514293467279631162576

Offset: 1

R. H. Hardin, Jan 04 2013

nonn

Column 5 of A221200.

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

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

Cf. A221200.

A221201 Number of 2 X n arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, with no occupancy greater than 2.

Original entry on oeis.org

0, 9, 10, 196, 720, 6400, 34272, 242064, 1460368, 9610000, 60194160, 387459856, 2455717680, 15698085264, 99863349040, 636989149456, 4056917039280, 25859869267600, 164758872493872, 1049992515273744, 6690497356781488

Offset: 1

R. H. Hardin, Jan 04 2013

nonn

Row 2 of A221200.

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

R. H. Hardin, Table of n, a(n) for n = 1..86

Cf. A221200.

Empirical: a(n) = 7*a(n-1) + 14*a(n-2) - 126*a(n-3) + 504*a(n-5) - 224*a(n-6) - 448*a(n-7) + 256*a(n-8).

Empirical g.f.: x^2*(9 - 53*x + 342*x^3 - 124*x^4 - 448*x^5 + 256*x^6) / ((1 - 2*x)*(1 + 2*x)*(1 - 7*x + 4*x^2)*(1 - 14*x^2 + 16*x^4)). - Colin Barker, Aug 04 2018

A221202 Number of 3Xn arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, with no occupancy greater than 2.

Original entry on oeis.org

0, 49, 46, 9025, 58700, 2518569, 32085376, 848789956, 14068757692, 311366232004, 5733258186854, 118412678934081, 2273843945394922, 45702294155340601, 892403786998151272, 17744284197389113081, 348794591561701410272

Offset: 1

R. H. Hardin Jan 04 2013

nonn

Row 3 of A221200

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

R. H. Hardin, Table of n, a(n) for n = 1..30

A221203 Number of 4 X n arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, with no occupancy greater than 2.

Original entry on oeis.org

0, 289, 212, 427716, 4984812, 1026177156, 30374196832, 3043294206016, 133567666236732, 10038761087929924, 525060302368983108, 34891927404610766400, 1974298747702764055248, 124298442666315631470276

Offset: 1

R. H. Hardin Jan 04 2013

nonn

Row 4 of A221200.

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

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

Cf. A221200.

A221199 Number of nX6 arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, with no occupancy greater than 2.

Original entry on oeis.org

16, 6400, 2518569, 1026177156, 420771471561, 172850051090025, 71030642332905025

Offset: 1

R. H. Hardin Jan 04 2013

nonn

Column 6 of A221200

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

A221204 Number of 5Xn arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, with no occupancy greater than 2.

Original entry on oeis.org

0, 1681, 976, 20277009, 433687328, 420771471561, 29037336149952, 10986555692499984

Offset: 1

R. H. Hardin Jan 04 2013

nonn

Row 5 of A221200

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

cp's OEIS Frontend

A221196 Number of n X 3 arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, with no occupancy greater than 2.

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A221197 Number of n X 4 arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, with no occupancy greater than 2.

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A221198 Number of n X 5 arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, with no occupancy greater than 2.

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A221201 Number of 2 X n arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, with no occupancy greater than 2.

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A221202 Number of 3Xn arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, with no occupancy greater than 2.

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A221203 Number of 4 X n arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, with no occupancy greater than 2.

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A221199 Number of nX6 arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, with no occupancy greater than 2.

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A221204 Number of 5Xn arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, with no occupancy greater than 2.

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