|
%I #7 Jun 17 2022 14:46:31
%S 1,0,5,18,68,235,801,2678,8777,28343,90455,285812,895302,2783602,
%T 8598096,26404831,80671908,245328807,742945582,2241375512,6738536925,
%U 20194613731,60344058090,179828931783,534560389757,1585341579329,4691443265544
%N Number of n X 2 0..1 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.
%C Column 2 of A279494.
%H R. H. Hardin, <a href="/A279488/b279488.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 7*a(n-1) -15*a(n-2) +11*a(n-3) -8*a(n-4) -9*a(n-5) +34*a(n-6) +17*a(n-7) +30*a(n-8) +41*a(n-9) +a(n-10) -18*a(n-11) -24*a(n-12) -33*a(n-13) -24*a(n-14) -8*a(n-15) -a(n-16).
%e Some solutions for n=4
%e ..0..0. .0..1. .0..0. .0..0. .0..1. .0..1. .0..1. .0..0. .0..0. .0..1
%e ..1..0. .0..1. .1..1. .0..1. .0..0. .1..1. .1..0. .0..1. .1..1. .1..0
%e ..0..0. .1..0. .1..0. .1..0. .0..1. .0..1. .1..1. .1..0. .1..1. .0..1
%e ..1..1. .0..0. .0..0. .1..0. .0..1. .1..0. .1..0. .0..1. .0..0. .1..1
%Y Cf. A279494.
%K nonn
%O 1,3
%A _R. H. Hardin_, Dec 13 2016
|
