A154082 Number of planar triangular n X n X n nonnegative integer grids symmetric both under 120 degree rotation and reflection with every similarly oriented 5 X 5 X 5 subtriangle summing to 10.

0, 25, 47, 0, 15, 26, 0, 5, 12, 0, 1, 14, 0, 0, 10, 0, 0, 10, 0, 0, 10, 0, 0, 10, 0, 0, 10, 0, 0, 10, 0, 0, 10, 0, 0, 10, 0, 0, 10, 0, 0, 10, 0, 0, 10, 0, 0, 10, 0

Offset

5,2

Comments

Pattern 0 0 10 starts at n=17 and continues through at least n=53.

Links

Table of n, a(n) for n=5..53.

Example

Maximal zeros solution for n=19
....................2
...................0.0
..................0.2.0
.................2.0.0.2
................0.0.2.0.0
...............0.2.0.0.2.0
..............2.0.0.2.0.0.2
.............0.0.2.0.0.2.0.0
............0.2.0.0.2.0.0.2.0
...........2.0.0.2.0.0.2.0.0.2
..........0.0.2.0.0.2.0.0.2.0.0
.........0.2.0.0.2.0.0.2.0.0.2.0
........2.0.0.2.0.0.2.0.0.2.0.0.2
.......0.0.2.0.0.2.0.0.2.0.0.2.0.0
......0.2.0.0.2.0.0.2.0.0.2.0.0.2.0
.....2.0.0.2.0.0.2.0.0.2.0.0.2.0.0.2
....0.0.2.0.0.2.0.0.2.0.0.2.0.0.2.0.0
...0.2.0.0.2.0.0.2.0.0.2.0.0.2.0.0.2.0
..2.0.0.2.0.0.2.0.0.2.0.0.2.0.0.2.0.0.2

Crossrefs

Sequence in context: A038811 A028505 A367496 * A216869 A143278 A106632

Adjacent sequences: A154079 A154080 A154081 * A154083 A154084 A154085

Keyword

nonn

Author

R. H. Hardin Jan 04 2009

Status

approved