A218646 Number of nX3 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..3 nX3 array.

16, 66, 610, 4946, 44712, 391888, 3441914, 30316230, 266671334, 2346850058, 20652411898, 181738545458, 1599310922692, 14073950030962, 123851052268298, 1089892156540672, 9591074382276762, 84401670396996900, 742736585615588566

Offset: 1

Author

R. H. Hardin Nov 03 2012

Keywords

• nonn

Comments

Column 3 of A218651

Examples

			Some solutions for n=3
..3..1..1....0..0..0....3..2..2....0..0..3....3..0..0....0..0..1....3..0..0
..2..1..0....0..0..2....3..2..2....0..0..2....0..0..0....0..1..1....3..0..0
..1..0..0....1..2..3....3..2..2....0..0..2....0..0..0....2..1..1....2..0..0
		

Links

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

Formula

Empirical: a(n) = 8*a(n-1) +6*a(n-2) +27*a(n-3) -123*a(n-4) -58*a(n-5) -2059*a(n-6) -689*a(n-7) +846*a(n-8) -1326*a(n-9) +10232*a(n-10) +28870*a(n-11) -23223*a(n-12) -76249*a(n-13) +22843*a(n-14) +95384*a(n-15) -10406*a(n-16) -67533*a(n-17) -2090*a(n-18) +30314*a(n-19) +3123*a(n-20) -7834*a(n-21) -1293*a(n-22) +1062*a(n-23) +240*a(n-24) -56*a(n-25) -15*a(n-26) for n>27