A302473 - OEIS

%I #4 Apr 08 2018 10:17:14

%S 0,11,49,203,955,4556,21843,103319,491073,2332753,11082938,52648987,

%T 250106679,1188163911,5644397853,26814116700,127381683511,

%U 605134192403,2874722191055,13656526930929,64876076932622,308197362006435

%N Number of 3Xn 0..1 arrays with every element equal to 1, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Row 3 of A302472.

%H R. H. Hardin, <a href="/A302473/b302473.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +17*a(n-2) +15*a(n-3) -33*a(n-4) -62*a(n-5) -148*a(n-6) -116*a(n-7) +343*a(n-8) +429*a(n-9) +269*a(n-10) +191*a(n-11) -415*a(n-12) -534*a(n-13) -468*a(n-14) -436*a(n-15) -132*a(n-16) -72*a(n-17) -8*a(n-18) +8*a(n-19) for n>21

%e Some solutions for n=5

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

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

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

%Y Cf. A302472.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 08 2018