A297715 - OEIS

%I #4 Jan 04 2018 21:55:16

%S 4,34,145,747,4090,21116,110551,582755,3055652,16036278,84225551,

%T 442157803,2321279598,12187515422,63986012963,335934438957,

%U 1763713210610,9259764998068,48615161059469,255237152397199,1340034403055100

%N Number of nX3 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 4 neighboring 1s.

%C Column 3 of A297720.

%H R. H. Hardin, <a href="/A297715/b297715.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +8*a(n-2) +64*a(n-3) +85*a(n-4) +19*a(n-5) -569*a(n-6) -1161*a(n-7) -1173*a(n-8) +125*a(n-9) +1720*a(n-10) +1802*a(n-11) +1328*a(n-12) +240*a(n-13)

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A297720.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 04 2018