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A194505 T(n,k)=Number of lower triangles of an n X n 0..k array with each element unequal to the sum mod k+1 of its horizontal and vertical neighbors 7
1, 2, 1, 3, 8, 4, 4, 27, 72, 2, 5, 64, 776, 1020, 1, 6, 125, 4160, 59052, 32768, 1, 7, 216, 15804, 1048560, 14348907, 2097152, 1, 8, 343, 46872, 9765630, 1073741824, 10460353203, 268460064, 16, 9, 512, 118096, 60466140, 30517578125 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

.1.........2..............3.................4....................5

.1.........8.............27................64..................125

.4........72............776..............4160................15804

.2......1020..........59052...........1048560..............9765630

.1.....32768.......14348907........1073741824..........30517578125

.1...2097152....10460353203.....4398046511104......476837158203125

.1.268460064.22876792454961.72057594037927936.37252902986083985625

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..62

EXAMPLE

Some solutions for n=4 k=3

..3........0........1........1........1........2........2........0

..2.1......1.1......3.2......3.3......3.2......3.0......3.0......1.2

..1.2.1....2.3.2....1.1.2....2.3.1....2.1.1....2.3.1....3.0.1....0.3.1

..2.0.1.3..0.0.0.3..0.1.3.1..1.2.1.0..0.3.3.0..3.3.0.1..1.3.0.3..2.3.3.1

CROSSREFS

Column 1 is A144260(n+1)

Sequence in context: A265891 A248354 A260142 * A137307 A256420 A205391

Adjacent sequences:  A194502 A194503 A194504 * A194506 A194507 A194508

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Aug 27 2011

STATUS

approved

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Last modified April 11 14:14 EDT 2021. Contains 342886 sequences. (Running on oeis4.)