|
%I #4 Mar 11 2018 08:38:22
%S 1,2,5,11,8,58,131,306,936,2435,6683,18093,49663,134666,367314,
%T 1002020,2728817,7439403,20275261,55264984,150614904,410527337,
%U 1118909399,3049617734,8311952136,22654640136,61746476769,168293237171,458692748831
%N Number of nX3 0..1 arrays with every element equal to 0, 2, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
%C Column 3 of A300682.
%H R. H. Hardin, <a href="/A300677/b300677.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-2) +9*a(n-3) +9*a(n-4) +3*a(n-5) -8*a(n-6) -a(n-7) -18*a(n-8) -24*a(n-9) -45*a(n-10) -10*a(n-11) -15*a(n-12) +39*a(n-13) -21*a(n-14) +9*a(n-15) -7*a(n-16) -13*a(n-17) +14*a(n-18) -5*a(n-19) +3*a(n-20) -2*a(n-22) +a(n-23) for n>26
%e Some solutions for n=5
%e ..0..0..1. .0..0..0. .0..0..1. .0..0..1. .0..0..0. .0..0..1. .0..1..1
%e ..0..1..1. .0..1..0. .0..1..1. .0..1..1. .0..1..0. .0..1..1. .1..0..1
%e ..0..0..0. .1..1..0. .0..0..0. .1..0..1. .0..0..0. .0..0..0. .1..1..1
%e ..0..1..0. .0..0..1. .0..1..0. .1..1..0. .1..1..0. .1..1..0. .0..0..1
%e ..0..0..0. .0..1..1. .0..0..1. .1..0..0. .1..0..0. .1..0..0. .0..1..1
%Y Cf. A300682.
%K nonn
%O 1,2
%A _R. H. Hardin_, Mar 11 2018
|
