cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-8 of 8 results.

A221241 Number of n X 3 arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor.

Original entry on oeis.org

2, 50, 1056, 21660, 441720, 8997120, 183206016, 3730330800, 75953515968, 1546488223200, 31487986033920, 641125466910720, 13053925809145728, 265790370894192000, 5411745241852207104, 110188290202715208960
Offset: 1

Views

Author

R. H. Hardin, Jan 06 2013

Keywords

Comments

Column 3 of A221245.

Examples

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

Links

Crossrefs

Cf. A221245.

Formula

Empirical: a(n) = 30*a(n-1) - 222*a(n-2) + 540*a(n-3) - 324*a(n-4).
Empirical g.f.: 2*(1 - 5*x) / (1 - 30*x + 222*x^2 - 540*x^3 + 324*x^4). - Colin Barker, Aug 04 2018

A221242 Number of nX4 arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor.

Original entry on oeis.org

4, 484, 45369, 4096576, 367565584, 32940435025, 2951293792489, 264404315544196, 23687401278880161, 2122092173450945536, 190112409243526686921, 17031641464052384231241, 1525817148915719009233321
Offset: 1

Views

Author

R. H. Hardin Jan 06 2013

Keywords

Comments

Column 4 of A221245

Examples

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

Links

Formula

Empirical: a(n) = 148*a(n-1) -6427*a(n-2) +118138*a(n-3) -1053200*a(n-4) +4793575*a(n-5) -11306353*a(n-6) +13398822*a(n-7) -7161939*a(n-8) +1435401*a(n-9) -59049*a(n-10)

A221246 Number of 2 X n arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor.

Original entry on oeis.org

0, 9, 50, 484, 3864, 32400, 267264, 2214144, 18316800, 151585344, 1254325824, 10379534400, 85889605824, 710729930304, 5881230244800, 48666696727104, 402712880117184, 3332415765326400, 27575464553486784, 228184686537228864
Offset: 1

Views

Author

R. H. Hardin, Jan 06 2013

Keywords

Comments

Row 2 of A221245.

Examples

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

Links

Crossrefs

Cf. A221245.

Formula

Empirical: a(n) = 9*a(n-1) - 54*a(n-3) + 36*a(n-4) for n>5.
Empirical g.f.: x^2*(9 - 31*x + 34*x^2 - 6*x^3) / ((1 - 9*x + 6*x^2)*(1 - 6*x^2)). - Colin Barker, Aug 04 2018

A221247 Number of 3Xn arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor.

Original entry on oeis.org

0, 64, 1056, 45369, 1337130, 44315649, 1404725868, 45215769600, 1447056039456, 46405605611556, 1487038748557464, 47664362071029636, 1527638149928473128, 48962472488029102500, 1569278944309473869112, 50296658362620611720256
Offset: 1

Views

Author

R. H. Hardin Jan 06 2013

Keywords

Comments

Row 3 of A221245

Examples

			Some solutions for n=3
..0..3..1....0..0..0....0..0..1....0..1..0....0..1..0....0..1..2....2..4..0
..0..3..1....0..4..3....2..6..0....1..3..1....2..3..0....0..5..0....0..0..0
..1..0..0....0..2..0....0..0..0....0..2..1....0..2..1....0..0..1....1..2..0

Links

A221243 Number of n X 5 arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor.

Original entry on oeis.org

8, 3864, 1337130, 438377904, 142283547000, 46087307409528, 14921719105582926, 4830735371570137800
Offset: 1

Views

Author

R. H. Hardin, Jan 06 2013

Keywords

Comments

Column 5 of A221245.

Examples

			Some solutions for n=3
..0..0..0..2..2....0..0..2..2..2....0..0..4..1..0....0..1..0..2..1
..0..6..1..0..1....0..1..1..1..0....0..4..1..0..1....0..2..1..1..2
..0..0..2..1..0....0..3..1..2..0....0..2..0..2..0....0..0..2..3..0

Crossrefs

Cf. A221245.

A221244 Number of nX6 arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor.

Original entry on oeis.org

16, 32400, 44315649, 56606878084, 71306050492681, 89545789526100625
Offset: 1

Views

Author

R. H. Hardin Jan 06 2013

Keywords

Comments

Column 6 of A221245

Examples

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

A221248 Number of 4 X n arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor.

Original entry on oeis.org

0, 441, 21660, 4096576, 438377904, 56606878084, 6757282699788, 830820670081600, 100904384322992160
Offset: 1

Views

Author

R. H. Hardin, Jan 06 2013

Keywords

Comments

Row 4 of A221245.

Examples

			Some solutions for n=3
..0..1..0....0..3..0....0..0..1....0..0..0....0..3..0....2..1..0....0..1..0
..1..1..1....0..2..1....1..4..0....2..6..0....0..2..1....0..5..0....2..3..1
..0..5..0....1..0..1....1..4..0....1..2..0....1..1..0....0..1..0....1..1..0
..1..1..1....0..3..1....0..0..1....1..0..0....2..2..0....0..1..2....0..3..0

Crossrefs

Cf. A221245.

A221249 Number of 5Xn arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor.

Original entry on oeis.org

0, 3025, 441720, 367565584, 142283547000, 71306050492681, 31835526389622592, 14864426276052147876
Offset: 1

Views

Author

R. H. Hardin Jan 06 2013

Keywords

Comments

Row 5 of A221245

Examples

			Some solutions for n=3
..0..0..2....0..0..1....0..0..0....0..0..1....0..0..2....0..0..1....0..1..0
..0..4..0....0..6..0....1..3..0....0..3..2....0..4..0....2..2..0....0..4..2
..2..0..0....1..2..0....2..4..0....1..2..0....0..2..1....0..4..0....0..2..1
..1..2..0....0..1..1....0..2..1....1..1..0....0..2..0....2..2..0....0..1..1
..0..4..0....2..1..0....1..1..0....0..4..0....2..2..0....0..2..0....1..2..0
Showing 1-8 of 8 results.

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