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A300262 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 Mar 01 2018 07:53:50

%S 4,26,95,375,1526,6198,25034,101312,410252,1660983,6724306,27224178,

%T 110221701,446249130,1806706543,7314734637,29614856373,119900405862,

%U 485435683612,1965362943182,7957081971789,32215501878934,130429542917213

%N Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A300267.

%H R. H. Hardin, <a href="/A300262/b300262.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -8*a(n-2) +4*a(n-3) -16*a(n-4) -3*a(n-5) +32*a(n-6) +13*a(n-7) +28*a(n-8) -91*a(n-9) +46*a(n-10) +5*a(n-11) +79*a(n-12) -38*a(n-13) -24*a(n-14) -22*a(n-15) -23*a(n-16) -7*a(n-17) +4*a(n-18) for n>19

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A300267.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 01 2018

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Last modified April 18 22:18 EDT 2024. Contains 371782 sequences. (Running on oeis4.)