A231415 Number of (n+1)X(3+1) 0..2 arrays with no element equal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order.

514, 20896, 844061, 34099824, 1378646988, 55743171795, 2253925687328, 91135639532050, 3684995866308397, 148999828418108116, 6024687611678499118, 243603373370750396584, 9849905481191885220441, 398272965802692213756388

Offset: 1

Author

R. H. Hardin, Nov 08 2013

Keywords

• nonn

Comments

Column 3 of A231419

Examples

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

Links

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

Formula

Empirical: a(n) = 46*a(n-1) -196*a(n-2) -1267*a(n-3) +3292*a(n-4) +14529*a(n-5) +171276*a(n-6) -1140184*a(n-7) -4475862*a(n-8) [phone]*a(n-9) [phone]*a(n-10) [phone]*a(n-11) [phone]*a(n-12) [phone]*a(n-13) -2319416710*a(n-14) -7818927246*a(n-15) -4993117801*a(n-16) [phone]*a(n-17) [phone]*a(n-18) [phone]*a(n-19) [phone]*a(n-20) -56438925441*a(n-21) -129903082195*a(n-22) -6021907645*a(n-23) -46647268966*a(n-24) [phone]*a(n-25) [phone]*a(n-26) -57732537680*a(n-27) [phone]*a(n-28) -41777158208*a(n-29) -29468075264*a(n-30) [phone]*a(n-31) [phone]*a(n-32) -205930496*a(n-33) -244383744*a(n-34)