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

1,2

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

Links

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

Example

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

Crossrefs

Column 1 is A140422(n+1)

Row 1 is A055232(n+1)

Sequence in context: A370236 A356049 A154232 * A195465 A173464 A072272

Adjacent sequences: A194612 A194613 A194614 * A194616 A194617 A194618

Keyword

nonn,tabl

Author

R. H. Hardin Aug 30 2011

Status

approved