A283038 Number of nX4 0..1 arrays with no 1 equal to more than one of its horizontal and vertical neighbors, with the exception of exactly one element.

2, 68, 818, 9152, 94368, 931844, 8912378, 83420984, 767704036, 6973000128, 62669779812, 558371394860, 4938938283902, 43417600038648, 379661067157816, 3304658457345168, 28648616561102224, 247474652799713212

Offset: 1

Author

R. H. Hardin, Feb 27 2017

Keywords

• nonn

Comments

Column 4 of A283042.

Examples

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

Links

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

Crossrefs

Cf. A283042.

Formula

Empirical: a(n) = 8*a(n-1) +38*a(n-2) -98*a(n-3) -1221*a(n-4) -3374*a(n-5) -1845*a(n-6) +8406*a(n-7) +14610*a(n-8) -5894*a(n-9) -20336*a(n-10) +9134*a(n-11) +9660*a(n-12) -7192*a(n-13) +3651*a(n-14) -16004*a(n-15) +9859*a(n-16) +3230*a(n-17) -14482*a(n-18) +15860*a(n-19) -16472*a(n-20) +13768*a(n-21) -9574*a(n-22) +4838*a(n-23) -2040*a(n-24) +772*a(n-25) -272*a(n-26) +84*a(n-27) -16*a(n-28) +4*a(n-29) -a(n-30)