A281053 - OEIS

A281053

Number of nX5 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

%I #4 Jan 13 2017 16:56:39

%S 2,104,618,2452,7803,22106,58005,144283,344972,800225,1812024,4023754,

%T 8791481,18948288,40366695,85135873,177990242,369259703,760850914,

%U 1558181104,3173635543,6432024694,12977428633,26076680087,52202242904

%N Number of nX5 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

%C Column 5 of A281056.

%H R. H. Hardin, <a href="/A281053/b281053.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -6*a(n-2) -4*a(n-3) +5*a(n-4) +9*a(n-5) -12*a(n-7) -3*a(n-8) +3*a(n-9) +6*a(n-10) -a(n-12) -a(n-13) for n>16

%e Some solutions for n=4

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

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

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

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

%Y Cf. A281056.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 13 2017