A194615 T(n,k) = Half the number of lower triangles of an (n+1) X (n+1) 0..k array with no element equal to the average of its horizontal and vertical neighbors.

1, 5, 5, 16, 96, 47, 36, 775, 4322, 849, 69, 3638, 132214, 571364, 29241, 117, 12438, 1674043, 86867366, 205801866, 1901849, 184, 34247, 12561823, 3703163910, 214726600125, 202803700252, 234932757, 272, 82057, 66369488, 73569838704

Offset: 1

Author

R. H. Hardin, Aug 30 2011

Keywords

• nonn
• tabl

Comments

Table starts

.................1.......................5........................16

.................5......................96.......................775

................47....................4322....................132214

...............849..................571364..................86867366

.............29241...............205801866..............214726600125

...........1901849............202803700252..........1988649454264015

.........234932757.........547917448108462......69098146174647014753

.......55047807551.....4059864930297777162.9010212831798851496619501

....24470603864937.82468548660331834255159

.20637055514911557

Examples

			Some solutions for 4X4
..2........0........0........2........2........0........0........0
..0.0......1.1......2.0......1.1......0.0......2.0......1.0......1.2
..0.1.0....0.0.2....1.2.2....2.0.0....1.1.1....2.2.0....0.0.1....2.1.1
..2.2.1.0..2.2.2.0..2.1.0.2..1.2.2.1..1.0.2.1..1.2.2.0..1.0.1.0..1.1.0.2
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..61

Crossrefs

Column 1 is A140422(n+1).

Row 1 is A055232(n+1).