A297763 - OEIS

%I #4 Jan 05 2018 19:01:19

%S 1,2,12,31,78,225,733,2305,7156,22388,70737,223576,705927,2229237,

%T 7044181,22263130,70360408,222365159,702781362,2221173901,7020142785,

%U 22187534409,70124998492,221634512416,700490315089,2213945357924

%N Number of 2Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 4 neighboring 1s.

%C Row 2 of A297762.

%H R. H. Hardin, <a href="/A297763/b297763.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -3*a(n-2) +a(n-3) +6*a(n-4) -18*a(n-5)

%e Some solutions for n=7

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

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

%Y Cf. A297762.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 05 2018