A165396 Number of slanted 4Xn (i=1..4)X(j=i..n+i-1) 1..4 arrays with all 1s connected, all 2s connected, all 3s connected, all 4s connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, 4 in the lower right corner, and with no element having more than 3 neighbors with the same value

5, 68, 1012, 6412, 37784, 196082, 927564, 4084752, 17038624, 68071813, 262504506, 982898538, 3589650686, 12832470099, 45031577790, 155480658676, 529194130242, 1778374522003, 5908578890738, 19430770840182

Offset

2,1

Links

Table of n, a(n) for n=2..21.

Example

Some solutions for n=4
...1.2.2.2.........1.2.2.2.........1.1.1.2.........1.1.1.2......
.....2.2.2.2.........3.3.2.2.........1.2.2.2.........1.1.3.3....
.......3.3.2.2.........3.3.3.4.........2.3.3.4.........1.3.3.3..
.........3.3.3.4.........3.4.4.4.........3.3.4.4.........3.4.4.4
------
...1.1.2.2.........1.1.1.2.........1.3.2.2.........1.4.4.2......
.....3.3.2.2.........2.2.2.2.........3.3.2.2.........4.4.2.4....
.......3.3.3.3.........4.4.4.4.........3.3.2.2.........4.4.4.4..
.........3.3.3.4.........3.4.4.4.........3.4.4.4.........3.3.4.4
------
...1.1.2.2.........1.1.1.2.........1.1.2.2.........1.2.2.2......
.....3.3.2.2.........1.1.1.4.........1.1.1.1.........4.4.4.4....
.......3.3.2.4.........4.4.4.4.........3.3.1.4.........3.3.4.4..
.........3.2.4.4.........3.3.4.4.........3.3.4.4.........3.4.4.4

Crossrefs

Sequence in context: A336433 A099334 A281558 * A029812 A208562 A093120

Adjacent sequences: A165393 A165394 A165395 * A165397 A165398 A165399

Keyword

nonn

Author

R. H. Hardin Sep 17 2009

Status

approved