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

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

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

Table of n, a(n) for n=1..51.

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

Adjacent sequences: A195802 A195803 A195804 * A195806 A195807 A195808

Keyword

nonn,tabl

Author

R. H. Hardin Sep 23 2011

Status

approved