A231319 Number of (n+1)X(3+1) 0..2 arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order.

216, 9600, 569184, 30645600, 1695860064, 93216760416, 5132640060000, 282526545904224, 15552808745472864, 856159949131740000, 47130503963700361056, 2594473391280336234336, 142822425161120289404256

Offset: 1

Author

R. H. Hardin, Nov 07 2013

Keywords

• nonn

Comments

Column 3 of A231324

Examples

			Some solutions for n=2
..0..1..0..2....0..1..2..1....0..0..0..0....0..0..1..2....0..0..0..1
..1..1..0..0....2..2..2..1....1..1..1..2....2..2..0..1....1..1..2..2
..0..0..2..1....0..1..2..0....2..2..0..0....1..0..0..2....0..1..2..1
		

Links

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

Formula

Empirical: a(n) = 57*a(n-1) +194*a(n-2) -16272*a(n-3) -50654*a(n-4) +1754012*a(n-5) +5241944*a(n-6) -96475568*a(n-7) -98407584*a(n-8) [phone]*a(n-9) [phone]*a(n-10) -29255162752*a(n-11) [phone]*a(n-12) [phone]*a(n-13) -258160872704*a(n-14) -1110522717184*a(n-15) [phone]*a(n-16) [phone]*a(n-17) -9576311832576*a(n-18) -4024700600320*a(n-19) [phone]*a(n-20) -5539096297472*a(n-21) -61959824474112*a(n-22) [phone]*a(n-23) [phone]*a(n-24) -68609208483840*a(n-25) -75467489017856*a(n-26) [phone]*a(n-27) [phone]*a(n-28) -51374922399744*a(n-29) -11009074921472*a(n-30) [phone]*a(n-31) -498216206336*a(n-32) -4492535791616*a(n-33) [phone]*a(n-34) [phone]*a(n-35) -68719476736*a(n-36)