A273961 Number of nX2 0..3 arrays with no three equal values forming an isosceles right triangle, and new values introduced in 0..3 order.

2, 10, 105, 1264, 15418, 188465, 2304141, 28171070, 344428103, 4211086174, 51486063258, 629484802987, 7696279187803, 94097130028610, 1150461107685501, 14065899352150196, 171974109566120666, 2102609553831755149

Offset: 1

Author

R. H. Hardin, Jun 05 2016

Keywords

• nonn

Comments

Column 2 of A273964.

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..46

Crossrefs

Cf. A273964.

Formula

Empirical: a(n) = 14*a(n-1) -18*a(n-2) -54*a(n-3) +112*a(n-4) -30*a(n-5) -41*a(n-6) +18*a(n-7) for n>8

Empirical g.f.: 2*x -x^2*(10-35*x-26*x^2+152*x^3-85*x^4-49*x^5+30*x^6) / ( (x-1) *(x^2+x-1) *(18*x^4-41*x^3+6*x^2+12*x-1) ). - R. J. Mathar, Jun 06 2016