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A300348 Number of nX6 0..1 arrays with every element equal to 1 or 2 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Mar 03 2018 08:31:16

%S 5,90,133,325,729,1371,3092,6068,12638,26306,55227,116124,244628,

%T 515923,1089092,2300375,4859824,10269075,21701677,45866023,96942392,

%U 204906286,433123097,915543514,1935335582,4091114685,8648362831,18282350436

%N Number of nX6 0..1 arrays with every element equal to 1 or 2 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 6 of A300350.

%H R. H. Hardin, <a href="/A300348/b300348.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -8*a(n-2) +4*a(n-3) +a(n-7) -3*a(n-8) +4*a(n-9) -2*a(n-10) +a(n-11) -a(n-12) -a(n-16) +a(n-17) for n>22

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A300350.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 03 2018

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Last modified August 14 23:14 EDT 2024. Contains 375171 sequences. (Running on oeis4.)