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A195805 T(n,k)=Number of triangular nXnXn 0..k arrays with all rows and diagonals having the same length having the same sum, with corners zero 10
1, 1, 1, 1, 1, 2, 1, 1, 3, 8, 1, 1, 4, 27, 16, 1, 1, 5, 64, 105, 64, 1, 1, 6, 125, 496, 1695, 1184, 1, 1, 7, 216, 1759, 24928, 284427, 5300, 1, 1, 8, 343, 5052, 213319, 17528896, 11606931, 130324, 1, 1, 9, 512, 12469, 1274808 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,6
COMMENTS
Table starts
....1........1........1......1.......1.....1...1.1.1.1
....1........1........1......1.......1.....1...1.1.1
....2........3........4......5.......6.....7...8.9
....8.......27.......64....125.....216...343.512
...16......105......496...1759....5052.12469
...64.....1695....24928.213319.1274808
.1184...284427.17528896
.5300.11606931
LINKS
EXAMPLE
Some solutions for n=4 k=4
.....0........0........0........0........0........0........0........0
....3.1......3.4......2.4......0.3......3.2......3.0......1.4......1.2
...1.3.3....4.4.3....4.2.2....3.2.0....2.4.3....0.3.3....4.2.1....2.3.1
..0.3.1.0..0.3.4.0..0.2.4.0..0.0.3.0..0.3.2.0..0.3.0.0..0.1.4.0..0.1.2.0
CROSSREFS
Sequence in context: A243716 A356776 A333988 * A293908 A346249 A235453
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Sep 23 2011
STATUS
approved

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Last modified March 1 06:29 EST 2024. Contains 370430 sequences. (Running on oeis4.)