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A298185 Number of nX6 0..1 arrays with every element equal to 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 Jan 14 2018 09:39:06

%S 0,5,5,6,7,10,14,20,29,44,68,106,166,262,416,663,1059,1695,2718,4365,

%T 7018,11294,18190,29317,47278,76280,123124,198806,321106,518776,

%U 838315,1354929,2190261,3541074,5725655,9258890,14973726,24217684,39170801

%N Number of nX6 0..1 arrays with every element equal to 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 6 of A298187.

%H R. H. Hardin, <a href="/A298185/b298185.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) -2*a(n-2) -a(n-3) +2*a(n-4) -2*a(n-5) +a(n-7) for n>8

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A298187.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 14 2018

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Last modified August 25 16:19 EDT 2024. Contains 375439 sequences. (Running on oeis4.)