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 1-4 of 4 results.

A220997 Number of n X 2 arrays of occupancy after each element stays put or moves to some horizontal or vertical neighbor.

Original entry on oeis.org

3, 31, 306, 2989, 29135, 283872, 2765627, 26943707, 262494146, 2557299561, 24914003827, 242719929760, 2364652602239, 23037176752223, 224435298485050, 2186518067974709, 21301735038155095, 207528088736659200
Offset: 1

Views

Author

R. H. Hardin, Dec 28 2012

Keywords

Comments

Column 2 of A221001.

Examples

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

Links

Crossrefs

Cf. A221001.

Formula

Empirical: a(n) = 11*a(n-1) - 11*a(n-2) - 12*a(n-3) - 2*a(n-4).
Empirical g.f.: x*(3 - 2*x - 2*x^2) / (1 - 11*x + 11*x^2 + 12*x^3 + 2*x^4). - Colin Barker, Feb 23 2018

A220998 Number of nX3 arrays of occupancy after each element stays put or moves to some horizontal or vertical neighbor.

Original entry on oeis.org

8, 306, 11017, 394580, 14113081, 504635391, 18042682111, 645084293748, 23063745428252, 824598809224499, 29481898439700635, 1054066854447577743, 37686070858394633616, 1347390750744270331311, 48173285030655948141067
Offset: 1

Views

Author

R. H. Hardin Dec 28 2012

Keywords

Comments

Column 3 of A221001

Examples

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

Links

Formula

Empirical: a(n) = 45*a(n-1) -327*a(n-2) -189*a(n-3) +2183*a(n-4) -1362*a(n-5) +976*a(n-6) +10221*a(n-7) +3837*a(n-8) -432*a(n-9) -11*a(n-10)

A220999 Number of nX4 arrays of occupancy after each element stays put or moves to some horizontal or vertical neighbor.

Original entry on oeis.org

21, 2989, 394580, 51672851, 6758547145, 883809591160, 115571009291599, 15112491898694315, 1976162121051496204, 258409744432367037405, 33790541796768618273627, 4418566652828051992947794
Offset: 1

Views

Author

R. H. Hardin Dec 28 2012

Keywords

Comments

Column 4 of A221001

Examples

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

Links

A221000 Number of nX5 arrays of occupancy after each element stays put or moves to some horizontal or vertical neighbor.

Original entry on oeis.org

55, 29135, 14113081, 6758547145, 3229188933738, 1542208831960569, 736464037749057990, 351682265933341657231
Offset: 1

Views

Author

R. H. Hardin Dec 28 2012

Keywords

Comments

Column 5 of A221001

Examples

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

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement.