|
%I #4 Nov 07 2013 18:13:25
%S 7,22,96,453,2302,12052,65326,358429,1989453,11087559,62022945,
%T 347395505,1948118084,10928901807,61334491446,344258620897,
%U 1932496326979,10848464120753,60902512055626,341906150989889,1919482880527468
%N Number of (n+1)X(3+1) 0..3 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with values 0..3 introduced in row major order
%C Column 3 of A231343
%H R. H. Hardin, <a href="/A231339/b231339.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 15*a(n-1) -76*a(n-2) +89*a(n-3) +558*a(n-4) -2475*a(n-5) +4307*a(n-6) -3342*a(n-7) -657*a(n-8) +4329*a(n-9) -2777*a(n-10) -1516*a(n-11) -5181*a(n-12) +29973*a(n-13) -62025*a(n-14) +78104*a(n-15) -71064*a(n-16) +39440*a(n-17) +20165*a(n-18) -62303*a(n-19) +136788*a(n-20) -263265*a(n-21) +276773*a(n-22) -233086*a(n-23) +162331*a(n-24) +11505*a(n-25) -92651*a(n-26) +60838*a(n-27) -39569*a(n-28) +14575*a(n-29) -827*a(n-30) +128*a(n-31) +771*a(n-32) -9*a(n-33) +135*a(n-34)
%e Some solutions for n=6
%e ..0..0..1..1....0..0..1..1....0..0..1..1....0..0..0..0....0..1..1..0
%e ..0..0..1..1....0..0..1..1....0..0..1..1....1..1..2..2....0..1..1..0
%e ..0..0..1..1....2..2..2..2....1..1..1..1....1..1..2..2....0..0..0..0
%e ..1..1..1..1....2..2..2..2....1..1..0..0....0..0..0..0....2..2..1..1
%e ..1..1..2..2....3..3..2..2....2..2..0..0....0..0..0..0....2..2..1..1
%e ..3..3..2..2....3..3..3..3....2..2..2..0....0..0..3..3....2..2..3..3
%e ..3..3..3..3....3..3..3..3....2..2..2..0....3..3..3..3....3..3..3..3
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 07 2013
| 