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A302681 Number of 3Xn 0..1 arrays with every element equal to 0, 1, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Apr 11 2018 12:29:13

%S 4,4,8,12,18,40,94,184,358,760,1594,3220,6574,13636,28078,57460,

%T 118090,243232,499846,1026496,2110462,4339696,8918722,18329596,

%U 37680070,77455324,159200278,327229276,672635458,1382602264,2841890926,5841485128

%N Number of 3Xn 0..1 arrays with every element equal to 0, 1, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Row 3 of A302680.

%H R. H. Hardin, <a href="/A302681/b302681.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +3*a(n-3) +3*a(n-4) for n>7

%e Some solutions for n=5

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

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

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

%Y Cf. A302680.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 11 2018

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Last modified September 10 20:50 EDT 2024. Contains 375794 sequences. (Running on oeis4.)