A183366 - OEIS

A183366

Number of n X 4 binary arrays with no element equal to the sum modulo 3 of its horizontal and vertical neighbors.

%I #12 Jun 22 2024 04:48:02

%S 3,12,39,138,548,2129,8311,32933,130750,519980,2069494,8238734,

%T 32801506,130618157,520176813,2071605150,8250287558,32857555574,

%U 130858980239,521161959522,2075594388132,8266327630092,32921750282882,131115278622574,522184203094342,2079668830404846

%N Number of n X 4 binary arrays with no element equal to the sum modulo 3 of its horizontal and vertical neighbors.

%H R. H. Hardin, <a href="/A183366/b183366.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for 5 X 4:

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

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

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

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

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

%Y Column 4 of A183368.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 04 2011