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A211904
T(n,k)=Number of triangular nXnXn arrays colored with integers 0 upwards introduced in row major order, with no element equal to any neighbor, and containing the value n(n+1)/2-k-1
6
0, 0, 1, 0, 1, 7, 0, 0, 14, 28, 0, 0, 15, 274, 76, 0, 0, 15, 1198, 2315, 166, 0, 0, 15, 2605, 36845, 11866, 316, 0, 0, 0, 3341, 336017, 481826, 44821, 547, 0, 0, 0, 3428, 1822850, 12353030, 3783481, 137859, 883, 0, 0, 0, 3429, 5987653, 210401656, 212518051
OFFSET
1,6
COMMENTS
Table starts
...0......0........0..........0............0............0...........0
...1......1........0..........0............0............0...........0
...7.....14.......15.........15...........15............0...........0
..28....274.....1198.......2605.........3341.........3428........3429
..76...2315....36845.....336017......1822850......5987653....12221947
.166..11866...481826...12353030....210401656...2442103346.19531771155
.316..44821..3783481..212518051...8415359939.242877057319
.547.137859.21275955.2254248571.174254333738
LINKS
EXAMPLE
Some solutions for n=4 k=4
.....0........0........0........0........0........0........0........0
....1.2......1.2......1.2......1.2......1.2......1.2......1.2......1.2
...3.4.5....3.4.0....2.3.4....3.4.1....3.0.4....0.3.0....3.0.1....3.4.5
..0.6.0.7..5.0.6.2..1.4.5.2..5.0.5.4..0.1.5.3..3.4.1.5..4.5.3.2..5.6.1.2
CROSSREFS
Sequence in context: A240984 A235363 A356592 * A094898 A341806 A340906
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Apr 25 2012
STATUS
approved