A265458 T(n,k)=Number of nXk 0..n+k-2 arrays with each element differing from its horizontal and vertical neighbors by one or two.

1, 2, 2, 12, 18, 12, 66, 250, 250, 66, 360, 3358, 7422, 3358, 360, 1864, 42282, 216466, 216466, 42282, 1864, 9358, 502154, 6056182, 13943772, 6056182, 502154, 9358, 45642, 5710302, 161435322, 871209026, 871209026, 161435322, 5710302, 45642

Offset

1,2

Comments

Table starts

....1.......2.........12............66..............360................1864

....2......18........250..........3358............42282..............502154

...12.....250.......7422........216466..........6056182...........161435322

...66....3358.....216466......13943772........871209026.........52509347006

..360...42282....6056182.....871209026.....122895678174......16879041018070

.1864..502154..161435322...52509347006...16879041018070....5327856426356284

.9358.5710302.4148236142.3073046007824.2268041942592142.1653688201339124766

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Example

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

Crossrefs

Sequence in context: A181813 A059187 A350329 * A054916 A194767 A302368

Adjacent sequences: A265455 A265456 A265457 * A265459 A265460 A265461

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 09 2015

Status

approved