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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

R. H. Hardin, Table of n, a(n) for n = 1..75

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 A231147

Adjacent sequences:  A195765 A195766 A195767 * A195769 A195770 A195771

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Sep 23 2011

STATUS

approved

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Last modified March 31 16:02 EDT 2020. Contains 333151 sequences. (Running on oeis4.)