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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 12
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 (list; table; graph; refs; listen; history; text; internal format)
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: A275016 A189316 A154232 * A195465 A173464 A072272

Adjacent sequences:  A194612 A194613 A194614 * A194616 A194617 A194618

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Aug 30 2011

STATUS

approved

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Last modified November 21 12:28 EST 2019. Contains 329370 sequences. (Running on oeis4.)