A279973 Number of nX4 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

3, 24, 221, 1922, 15511, 118857, 876704, 6281773, 43997218, 302544617, 2049122034, 13702872583, 90643155972, 593994248709, 3860755349595, 24913212937078, 159737403339158, 1018352525988640, 6458838814490585, 40774568909571868

Offset: 1

Author

R. H. Hardin, Dec 24 2016

Keywords

• nonn

Comments

Column 4 of A279977.

Examples

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

Links

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

Crossrefs

Cf. A279977.

Formula

Empirical: a(n) = 30*a(n-1) -399*a(n-2) +3163*a(n-3) -17061*a(n-4) +67920*a(n-5) -210660*a(n-6) +527724*a(n-7) -1093560*a(n-8) +1904479*a(n-9) -2816082*a(n-10) +3556545*a(n-11) -3846177*a(n-12) +3560349*a(n-13) -2812614*a(n-14) +1885732*a(n-15) -1064382*a(n-16) +500283*a(n-17) -192971*a(n-18) +59883*a(n-19) -14538*a(n-20) +2649*a(n-21) -339*a(n-22) +27*a(n-23) -a(n-24)