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A302966 Number of 3Xn 0..1 arrays with every element equal to 0, 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I

%S 4,32,154,786,3924,19868,100161,505908,2554201,12898093,65130456,

%T 328890172,1660800969,8386586118,42349950959,213855666444,

%U 1079912639341,5453263882696,27537493309346,139056822182155,702198983497508

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

%C Row 3 of A302965.

%H R. H. Hardin, <a href="/A302966/b302966.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +15*a(n-2) -11*a(n-3) -64*a(n-4) -10*a(n-5) +73*a(n-6) +15*a(n-7) -7*a(n-8) +4*a(n-9) -30*a(n-10) -9*a(n-11) +8*a(n-12) for n>13

%e Some solutions for n=5

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

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

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

%Y Cf. A302965.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 16 2018

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Last modified November 28 12:06 EST 2021. Contains 349401 sequences. (Running on oeis4.)