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.

A221404 Number of nX3 arrays of occupancy after each element stays put or moves to some horizontal or vertical neighbor, with every occupancy equal to zero or two.

Original entry on oeis.org

0, 16, 0, 436, 0, 12668, 0, 368268, 0, 10705360, 0, 311197280, 0, 9046269888, 0, 262968117056, 0, 7644280337936, 0, 222213327464336, 0, 6459569820912704, 0, 187774705858714240, 0, 5458465675503960896, 0, 158673381440822516672, 0
Offset: 1

Views

Author

R. H. Hardin Jan 15 2013

Keywords

Comments

Column 3 of A221408

Examples

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

Formula

Empirical: a(n) = 36*a(n-2) -200*a(n-4) -40*a(n-6) -84*a(n-8) +80*a(n-10) -20*a(n-12) +80*a(n-14)

A221405 Number of nX4 arrays of occupancy after each element stays put or moves to some horizontal or vertical neighbor, with every occupancy equal to zero or two.

Original entry on oeis.org

4, 44, 436, 4518, 47156, 492102, 5133044, 53529806, 558164472, 5819704716, 60677191216, 632619159318, 6595610902832, 68764677891112, 716926331557236, 7474513869766556, 77927543824707370, 812454058048811426
Offset: 1

Views

Author

R. H. Hardin Jan 15 2013

Keywords

Comments

Column 4 of A221408

Examples

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

Formula

Empirical: a(n) = 19*a(n-1) -110*a(n-2) +250*a(n-3) -446*a(n-4) +939*a(n-5) -1112*a(n-6) -343*a(n-7) -822*a(n-8) +692*a(n-9) +1957*a(n-10) +2810*a(n-11) -1975*a(n-12) -59*a(n-13) -2679*a(n-14) +738*a(n-15) +1088*a(n-16) +1258*a(n-17) -418*a(n-18) -562*a(n-19) +192*a(n-20) +336*a(n-21) +32*a(n-22) -32*a(n-23)

A221406 Number of nX5 arrays of occupancy after each element stays put or moves to some horizontal or vertical neighbor, with every occupancy equal to zero or two.

Original entry on oeis.org

0, 120, 0, 47156, 0, 18852560, 0, 7505597654, 0, 2984164922226, 0, 1185951960926210, 0, 471249297474390114, 0, 187247029623260170674, 0, 74400007192624944055794, 0, 29561675588644660921885852, 0
Offset: 1

Views

Author

R. H. Hardin Jan 15 2013

Keywords

Comments

Column 5 of A221408

Examples

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

A221407 Number of nX6 arrays of occupancy after each element stays put or moves to some horizontal or vertical neighbor, with every occupancy equal to zero or two.

Original entry on oeis.org

8, 328, 12668, 492102, 18852560, 722442370, 27665242848, 1058237377670
Offset: 1

Views

Author

R. H. Hardin Jan 15 2013

Keywords

Comments

Column 6 of A221408

Examples

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