A279576 - OEIS

A279576

Number of nX4 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

%I #4 Dec 15 2016 10:57:31

%S 4,304,20776,1356120,86246944,5385546376,331573929104,20185283466808,

%T 1217559111188832,72881432768564104,4334414771180477232,

%U 256350873834571829720,15088730814780904713600,884394788795879442352680

%N Number of nX4 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

%C Column 4 of A279580.

%H R. H. Hardin, <a href="/A279576/b279576.txt">Table of n, a(n) for n = 1..182</a>

%F Empirical: a(n) = 130*a(n-1) -5401*a(n-2) +81048*a(n-3) -655576*a(n-4) +3394056*a(n-5) -12310816*a(n-6) +32887040*a(n-7) -66357008*a(n-8) +101980416*a(n-9) -118737920*a(n-10) +102678528*a(n-11) -63588352*a(n-12) +26722304*a(n-13) -7077888*a(n-14) +1048576*a(n-15) -65536*a(n-16) for n>17

%e Some solutions for n=3

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

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

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

%Y Cf. A279580.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 15 2016