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 1-6 of 6 results.

A217268 Number of n X 3 arrays of occupancy after each element moves to some horizontal or vertical neighbor.

Original entry on oeis.org

2, 64, 1472, 33856, 772800, 17640000, 402494400, 9183772224, 209543184576, 4781079618624, 109088244863424, 2489028863068224, 56791310102324928, 1295787666826276416, 29565538631067860928, 674586660240498844224
Offset: 1

Views

Author

R. H. Hardin, Sep 29 2012

Keywords

Comments

Column 3 of A217273.

Examples

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

Links

Crossrefs

Cf. A217273.

Formula

Empirical: a(n) = 24*a(n-1) - 648*a(n-3) + 729*a(n-4) for n>5.
Empirical g.f.: 2*x*(1 + 8*x - 32*x^2 - 88*x^3 + 135*x^4) / ((1 - 24*x + 27*x^2)*(1 - 27*x^2)). - Colin Barker, Jul 23 2018

A217269 Number of n X 4 arrays of occupancy after each element moves to some horizontal or vertical neighbor.

Original entry on oeis.org

4, 441, 33856, 2572816, 194881600, 14755689729, 1117092569476, 84567501131481, 6401965110822961, 484642857129680209, 36688499987102073289, 2777397165745966328049, 210254833741528740686404
Offset: 1

Views

Author

R. H. Hardin Sep 29 2012

Keywords

Comments

Column 4 of A217273.

Examples

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

Links

Crossrefs

Cf. A217273.

Formula

Empirical: a(n) = 102*a(n-1) -2037*a(n-2) +2098*a(n-3) +111987*a(n-4) -459828*a(n-5) -54016*a(n-6) +1828299*a(n-7) -2079066*a(n-8) +455875*a(n-9) +352710*a(n-10) -165978*a(n-11) +15218*a(n-12) +1308*a(n-13) -111*a(n-14) +a(n-15).

A217270 Number of nX5 arrays of occupancy after each element moves to some horizontal or vertical neighbor.

Original entry on oeis.org

8, 3025, 772800, 194881600, 48909857500, 12276607432401, 3080781263731464, 773143936621737444, 194021789111058265560, 48690338552261542133284, 12218954146290231642146852, 3066376844585908891388914564
Offset: 1

Views

Author

R. H. Hardin Sep 29 2012

Keywords

Comments

Column 5 of A217273

Examples

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

Links

A217271 Number of nX6 arrays of occupancy after each element moves to some horizontal or vertical neighbor.

Original entry on oeis.org

16, 20736, 17640000, 14755689729, 12276607432401, 10211121295308649, 8491624540729737796, 7061648944253957079481, 5872435140472364430803929, 4883489824271582246264899984, 4061085890163124328387958867561
Offset: 1

Views

Author

R. H. Hardin Sep 29 2012

Keywords

Comments

Column 6 of A217273

Examples

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

Links

A217267 Number of n X n arrays of occupancy after each element moves to some horizontal or vertical neighbor.

Original entry on oeis.org

0, 9, 1472, 2572816, 48909857500, 10211121295308649, 23397344246732649325860
Offset: 1

Views

Author

R. H. Hardin, Sep 29 2012

Keywords

Examples

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

Crossrefs

Diagonal of A217273.

A217272 Number of nX7 arrays of occupancy after each element moves to some horizontal or vertical neighbor.

Original entry on oeis.org

32, 142129, 402494400, 1117092569476, 3080781263731464, 8491624540729737796, 23397344246732649325860
Offset: 1

Views

Author

R. H. Hardin Sep 29 2012

Keywords

Comments

Column 7 of A217273

Examples

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

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