login
Number of 4Xn 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.
1

%I #5 Dec 24 2016 08:39:04

%S 0,31,296,1922,10491,50690,226771,963728,3941732,15655280,60749739,

%T 231325874,867192006,3208394065,11737643962,42526452550,152777627539,

%U 544782076812,1929805835927,6795769111934,23804414728200,82983605105905

%N Number of 4Xn 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

%C Row 4 of A279977.

%H R. H. Hardin, <a href="/A279980/b279980.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A279980/a279980.txt">Empirical recurrence of order 68</a>

%F Empirical recurrence of order 68 (see link above)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A279977.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 24 2016