A268180 T(n,k)=Number of nXk 0..k arrays with every repeated value in every row equal to, and in every column unequal to, the previous repeated value, and new values introduced in row-major sequential order.

1, 2, 2, 5, 14, 3, 14, 187, 96, 5, 45, 3552, 9054, 726, 7, 163, 93311, 1589578, 494098, 5046, 11, 657, 3201247, 479973420, 829256141, 25770278, 35574, 15, 2910, 137687080, 225814538887, 3038628153922, 423155007379, 1339895662, 242406, 23

Offset: 1

Author

R. H. Hardin, Jan 28 2016

Keywords

• nonn
• tabl

Comments

Table starts

..1.......2...........5..............14................45...............163

..2......14.........187............3552.............93311...........3201247

..3......96........9054.........1589578.........479973420......225814538887

..5.....726......494098.......829256141.....3038628153922.21090319968167260

..7....5046....25770278....423155007379.19146833412153174

.11...35574..1339895662.214576839826736

.15..242406.68390077014

.23.1653750

.31

Examples

			Some solutions for n=3 k=4
..0..1..2..2....0..1..0..0....0..1..1..2....0..0..1..0....0..0..0..1
..0..0..3..1....0..1..0..0....0..0..1..3....0..1..2..2....0..0..1..0
..3..3..1..4....1..2..3..3....4..1..0..4....3..1..2..4....2..1..3..4
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..45

Crossrefs

Column 1 is A052955(n-1).

Column 2 is A267913.

Row 1 is A268004.

Row 2 is A268005.

Formula

Empirical for column k:

k=1: a(n) = a(n-1) +2*a(n-2) -2*a(n-3)

k=2: [order 6] for n>8

k=3: [order 17] for n>19