A207264 Number of nX3 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 1 and 1 0 1 vertically.

6, 36, 82, 193, 488, 1087, 2305, 4932, 10416, 21716, 45333, 94798, 198291, 415803, 874740, 1845166, 3902324, 8273999, 17581622, 37429453, 79812519, 170419522, 364296166, 779456642, 1669010171, 3575965948, 7665561753, 16438759769

Offset: 1

Author

R. H. Hardin Feb 16 2012

Keywords

• nonn

Comments

Column 3 of A207269

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 5*a(n-1) -9*a(n-2) +12*a(n-3) -22*a(n-4) +25*a(n-5) -16*a(n-6) +21*a(n-7) -17*a(n-8) +a(n-9) -6*a(n-10) +6*a(n-11) +a(n-12) +2*a(n-13) -2*a(n-14) for n>15