A279530 - OEIS

%I #5 Dec 14 2016 10:22:46

%S 1,0,15,222,2348,21302,176125,1370378,10206549,73563740,516783536,

%T 3556359632,24063074811,160526530010,1058084408267,6902445698458,

%U 44625383925460,286243601446922,1823306997805641,11542088564060842

%N Number of nX2 0..2 arrays with no element equal to a strict majority of its horizontal and vertical neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

%C Column 2 of A279534.

%H R. H. Hardin, <a href="/A279530/b279530.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 18*a(n-1) -108*a(n-2) +183*a(n-3) +408*a(n-4) -1332*a(n-5) +69*a(n-6) +2442*a(n-7) -1632*a(n-8) -1043*a(n-9) +1452*a(n-10) -528*a(n-11) +64*a(n-12) for n>13

%e Some solutions for n=4

%e ..0..0. .0..1. .0..0. .0..1. .0..1. .0..1. .0..1. .0..1. .0..1. .0..1

%e ..1..1. .2..1. .1..1. .2..2. .2..2. .0..0. .1..1. .1..1. .2..1. .2..0

%e ..0..1. .1..1. .1..0. .0..2. .2..0. .1..0. .0..2. .2..1. .1..1. .0..0

%e ..2..1. .0..0. .1..0. .0..2. .2..0. .1..2. .0..0. .2..2. .0..2. .0..2

%Y Cf. A279534.

%K nonn

%O 1,3

%A _R. H. Hardin_, Dec 14 2016