A216792 T(n,k)=Number of (k+1) colorings of a side-n hexagonal array with colors introduced in row major order.

1, 1, 0, 1, 1, 0, 1, 11, 1, 0, 1, 31, 5318, 1, 0, 1, 40, 2976610, 22831676, 1, 0, 1, 41, 151280046, 39123956055580, 915294166360, 1, 0, 1, 41, 1780127826, 724448862721697721, 69275022816331822721697, 348567447145791344, 1, 0, 1, 41

Offset: 1

Author

R. H. Hardin Sep 16 2012

Keywords

• nonn
• tabl

Comments

Table starts

.1.1..................1.......................1..................1

.0.1.................11......................31.................40

.0.1...............5318.................2976610..........151280046

.0.1...........22831676..........39123956055580.724448862721697721

.0.1.......915294166360.69275022816331822721697

.0.1.348567447145791344

.0.1

.0

rows 1, 2, 3 final values are 1, 41, 36536972794

Examples

			Some solutions for n=3 k=4
......0.1.0..........0.1.0..........0.1.2..........0.1.0..........0.1.2
.....2.3.2.1........1.2.3.1........3.2.3.0........2.3.2.1........1.2.3.0
....1.0.1.3.0......0.3.1.0.3......2.0.1.2.3......1.0.1.3.0......3.0.1.2.3
.....2.3.2.1........2.0.2.1........1.2.3.1........2.3.0.1........1.2.3.0
......0.1.3..........1.3.0..........3.0.2..........0.1.2..........0.1.2
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..40