A274065 T(n,k)=Number of nXk 0..2 arrays with no three equal values forming an isosceles right triangle, and new values introduced in 0..2 order.

1, 2, 2, 5, 9, 5, 14, 50, 50, 14, 41, 285, 264, 285, 41, 122, 1617, 435, 435, 1617, 122, 365, 9188, 546, 8, 546, 9188, 365, 1094, 52193, 1209, 1, 1, 1209, 52193, 1094, 3281, 296511, 3272, 0, 0, 0, 3272, 296511, 3281, 9842, 1684466, 8412, 0, 0, 0, 0, 8412, 1684466, 9842

Offset: 1

Author

R. H. Hardin, Jun 09 2016

Keywords

• nonn
• tabl

Comments

Table starts

.....1.......2.....5..14...41..122...365...1094....3281....9842.29525

.....2.......9....50.285.1617.9188.52193.296511.1684466.9569425

.....5......50...264.435..546.1209..3272...8412...20634

....14.....285...435...8....1....0.....0......0

....41....1617...546...1....0....0.....0

...122....9188..1209...0....0....0

...365...52193..3272...0....0

..1094..296511..8412...0

..3281.1684466.20634

..9842.9569425

.29525

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..66

Crossrefs

Column 1 is A007051(n-1).

Column 2 is A231413(n-1).

Formula

Empirical for column k:

k=1: a(n) = 4*a(n-1) -3*a(n-2)

k=2: a(n) = 6*a(n-1) -11*a(n-3) +4*a(n-4) for n>5

k=3: [order 40] for n>49