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A195768 T(n,k)=Number of triangular nXnXn 0..k arrays with all row sums equal to the length of the row and all diagonal sums equal to the length of the respective diagonal 6
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 15, 1, 1, 1, 1, 3, 18, 135, 1, 1, 1, 1, 3, 18, 228, 2889, 1, 1, 1, 1, 3, 18, 228, 8472, 146559, 1, 1, 1, 1, 3, 18, 228, 8904, 898125, 17742675, 1, 1, 1, 1, 3, 18, 228, 8904, 1037343, 276763188, 5342155407, 1, 1, 1, 1, 3 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,14
COMMENTS
Table starts
.1........1.........1.........1.......1....1...1..1.1.1.1.1
.1........1.........1.........1.......1....1...1..1.1.1.1
.1........1.........1.........1.......1....1...1..1.1.1
.1........3.........3.........3.......3....3...3..3.3
.1.......15........18........18......18...18..18.18
.1......135.......228.......228.....228..228.228
.1.....2889......8472......8904....8904.8904
.1...146559....898125...1037343.1039761
.1.17742675.276763188.374504433
LINKS
EXAMPLE
Some solutions for n=8 k=6
.........1................1................1................1
........0.2..............0.2..............0.2..............0.2
.......2.0.1............2.0.1............0.1.2............2.0.1
......1.0.0.3..........1.0.2.1..........1.1.2.0..........1.1.1.1
.....1.2.1.1.0........1.0.2.2.0........0.2.1.1.1........1.0.0.2.2
....0.1.1.0.4.0......2.2.1.1.0.0......3.1.1.0.1.0......1.1.2.0.2.0
...2.2.2.1.0.0.0....0.1.0.0.1.3.2....2.0.0.1.2.1.1....1.2.2.2.0.0.0
..1.0.1.0.0.3.2.1..1.2.0.1.3.0.0.1..1.0.0.3.0.2.1.1..1.1.0.0.0.3.2.1
CROSSREFS
Sequence in context: A062278 A260638 A268523 * A016465 A122947 A367990
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Sep 23 2011
STATUS
approved

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Last modified April 24 06:14 EDT 2024. Contains 371918 sequences. (Running on oeis4.)