A222445 Sum of neighbor maps: number of nX2 binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal, vertical and antidiagonal neighbors in a random 0..3 nX2 array.

2, 14, 64, 210, 1024, 4000, 16288, 65536, 260080, 1048576, 4191744, 16774656, 67108864, 268379104, 1073741824, 4294909952, 17179811840, 68719476736, 274876642816, 1099511627776, 4398045331456, 17592184864768, 70368744177664

Offset: 1

Author

R. H. Hardin Feb 20 2013

Keywords

• nonn

Comments

Column 2 of A222448

Examples

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

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +60*a(n-5) -240*a(n-6) -1456*a(n-10) +5824*a(n-11) +18496*a(n-15) -73984*a(n-16) -133120*a(n-20) +532480*a(n-21) +544768*a(n-25) -2179072*a(n-26) -1179648*a(n-30) +4718592*a(n-31) +1048576*a(n-35) -4194304*a(n-36)