A231758 Number of (n+1)X(2+1) 0..1 arrays with no element having a strict majority of its horizontal, diagonal and antidiagonal neighbors equal to one.

33, 136, 660, 3213, 14989, 70927, 338352, 1603633, 7596720, 36066272, 171140301, 811651995, 3850637109, 18269376384, 86668158745, 411153474416, 1950577525332, 9253691650061, 43899995716425, 208265361505983, 988028267125504

Offset: 1

Author

R. H. Hardin, Nov 13 2013

Keywords

• nonn

Comments

Column 2 of A231764

Examples

			Some solutions for n=6
..0..0..0....1..0..0....1..0..0....0..0..0....0..0..1....1..0..0....0..0..0
..1..0..1....1..1..0....0..1..1....1..0..0....0..0..0....1..0..0....1..0..1
..0..1..1....0..0..1....0..0..0....1..0..1....1..1..1....1..1..0....1..0..0
..0..0..0....0..0..1....1..0..0....0..0..0....0..0..1....1..0..0....0..0..0
..0..0..0....1..0..0....1..0..0....1..0..0....0..0..0....1..0..0....0..1..0
..1..1..0....0..1..1....0..0..0....0..1..1....1..0..1....0..1..1....0..0..0
..0..0..1....0..0..0....1..1..0....0..0..1....0..1..0....1..0..0....1..0..0
		

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +47*a(n-3) -25*a(n-4) +21*a(n-5) -403*a(n-6) +110*a(n-7) +40*a(n-8) +1601*a(n-9) -348*a(n-10) -520*a(n-11) -2656*a(n-12) +792*a(n-13) +288*a(n-14) +2480*a(n-15) -544*a(n-16) +128*a(n-17) -1600*a(n-18) +128*a(n-19) +512*a(n-21)