A297734 - OEIS

%I #4 Jan 04 2018 22:18:44

%S 1,2,8,15,32,61,145,297,658,1352,2975,6240,13565,28609,61801,131106,

%T 282136,600239,1288448,2746557,5887025,12563881,26904370,57460200,

%U 122975935,262760096,562158461,1201484193,2569940969,5493595714

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

%C Row 2 of A297733.

%H R. H. Hardin, <a href="/A297734/b297734.txt">Table of n, a(n) for n = 1..210</a>

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

%e Some solutions for n=7

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

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

%Y Cf. A297733.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 04 2018