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A299932 Number of nX3 0..1 arrays with every element equal to 1, 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 Feb 22 2018 07:16:57

%S 1,18,130,902,6243,43375,300901,2088188,14490885,100561673,697859666,

%T 4842887731,33607835172,233225868721,1618500688831,11231792221332,

%U 77944456338104,540905507962400,3753682843565441,26049161421235915

%N Number of nX3 0..1 arrays with every element equal to 1, 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A299937.

%H R. H. Hardin, <a href="/A299932/b299932.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) +2*a(n-2) -19*a(n-3) +15*a(n-4) +3*a(n-5) -3*a(n-6) -2*a(n-7) -10*a(n-8) -3*a(n-9) +2*a(n-10) for n>11

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A299937.

%K nonn

%O 1,2

%A _R. H. Hardin_, Feb 22 2018

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Last modified April 18 20:26 EDT 2024. Contains 371781 sequences. (Running on oeis4.)