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A301445 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1

%I

%S 4,29,171,1008,5930,34976,206266,1216562,7175157,42318566,249591629,

%T 1472072549,8682172154,51206792942,302013780922,1781254373986,

%U 10505703200049,61961840678551,365446236883416,2155374188205965

%N Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 3 of A301450.

%H R. H. Hardin, <a href="/A301445/b301445.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) +7*a(n-2) -10*a(n-3) -a(n-4) +7*a(n-5) -17*a(n-6) +5*a(n-8) -11*a(n-9) +5*a(n-10) -2*a(n-12) +2*a(n-13)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A301450.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 21 2018

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Last modified May 24 12:01 EDT 2022. Contains 354033 sequences. (Running on oeis4.)