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A316450 Number of nX3 0..1 arrays with every element unequal to 1, 2, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 Jul 03 2018 09:17:34

%S 1,11,9,23,58,126,272,672,1553,3555,8624,20434,48097,116009,277803,

%T 663233,1596067,3838951,9220294,22194498,53457842,128698832,310008613,

%U 747059207,1800118460,4338138328,10456485093,25204290195,60754661477

%N Number of nX3 0..1 arrays with every element unequal to 1, 2, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A316455.

%H R. H. Hardin, <a href="/A316450/b316450.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +3*a(n-2) +10*a(n-3) -4*a(n-4) -29*a(n-5) -55*a(n-6) -11*a(n-7) +84*a(n-8) +149*a(n-9) +92*a(n-10) -68*a(n-11) -115*a(n-12) -73*a(n-13) -44*a(n-14) -67*a(n-15) -36*a(n-16) -4*a(n-17) for n>20

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A316455.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jul 03 2018

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Last modified April 25 01:06 EDT 2024. Contains 371964 sequences. (Running on oeis4.)