login
Number of n X 4 0..1 arrays with the number of 1's king-move adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.
1

%I #6 Apr 05 2020 22:29:46

%S 6,46,435,5896,80200,1143533,16442183,240146980,3538905880,

%T 52568393480,785872613710,11812436439395,178382105544907,

%U 2704771593353921,41159406062915663,628343298365437332,9619941922149572518

%N Number of n X 4 0..1 arrays with the number of 1's king-move adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.

%C Column 4 of A284113.

%H R. H. Hardin, <a href="/A284109/b284109.txt">Table of n, a(n) for n = 1..191</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A284113.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 20 2017