A281798 - OEIS

%I #4 Jan 30 2017 10:35:38

%S 3,38,372,1916,8354,32524,117401,404594,1345667,4351562,13766102,

%T 42771530,130923764,395755820,1183519011,3506644006,10305848743,

%U 30072612682,87197043981,251401262840,721134389016,2059017606124

%N Number of nX4 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

%C Column 4 of A281802.

%H R. H. Hardin, <a href="/A281798/b281798.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 11*a(n-1) -43*a(n-2) +57*a(n-3) +39*a(n-4) -102*a(n-5) -89*a(n-6) -2*a(n-7) +400*a(n-8) +345*a(n-9) -801*a(n-10) -1371*a(n-11) +1684*a(n-12) +2038*a(n-13) -1700*a(n-14) -3196*a(n-15) -691*a(n-16) +6737*a(n-17) +5067*a(n-18) -10614*a(n-19) -10149*a(n-20) +14785*a(n-21) +11944*a(n-22) -14624*a(n-23) -14589*a(n-24) +4290*a(n-25) +23532*a(n-26) +6761*a(n-27) -34960*a(n-28) -8032*a(n-29) +45464*a(n-30) -550*a(n-31) -43699*a(n-32) +12453*a(n-33) +25491*a(n-34) -16122*a(n-35) -7485*a(n-36) +9435*a(n-37) -84*a(n-38) -2737*a(n-39) +866*a(n-40) +422*a(n-41) -207*a(n-42) +27*a(n-44) for n>51

%e Some solutions for n=4

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

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

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

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

%Y Cf. A281802.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 30 2017