A140422 -id:A140422 - cp's OEIS frontend

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

R. H. Hardin, Aug 30 2011

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

			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

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

Column 1 is A140422(n+1).

Row 1 is A055232(n+1).

cp's OEIS Frontend

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.

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