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A303958 Number of nX5 0..1 arrays with every element unequal to 0, 1, 2 or 5 king-move adjacent elements, with upper left element zero. 1

%I #4 May 03 2018 12:45:06

%S 16,22,49,159,480,1431,4137,12066,35589,104863,307928,904119,2658091,

%T 7815860,22972429,67514241,198445406,583320819,1714573733,5039601468,

%U 14812938483,43540143623,127978525886,376168992379,1105679369815

%N Number of nX5 0..1 arrays with every element unequal to 0, 1, 2 or 5 king-move adjacent elements, with upper left element zero.

%C Column 5 of A303961.

%H R. H. Hardin, <a href="/A303958/b303958.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +2*a(n-2) +11*a(n-4) -6*a(n-5) -23*a(n-6) +9*a(n-7) -8*a(n-8) +3*a(n-9) +13*a(n-10) -7*a(n-11) +2*a(n-12) +a(n-13) -a(n-14) +a(n-15) for n>21

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A303961.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 03 2018

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Last modified April 23 05:37 EDT 2024. Contains 371906 sequences. (Running on oeis4.)