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A316417 Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 5, 6 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 Jul 02 2018 09:04:58

%S 16,22,66,287,1265,5695,25312,112499,501646,2235513,9960614,44384221,

%T 197791638,881405480,3927721393,17502839038,77996780117,347571770492,

%U 1548860409237,6902082819315,30757288884006,137061639574564

%N Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

%C Column 5 of A316420.

%H R. H. Hardin, <a href="/A316417/b316417.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +9*a(n-2) -3*a(n-3) -20*a(n-4) -65*a(n-5) -96*a(n-6) +179*a(n-7) +361*a(n-8) +34*a(n-9) -66*a(n-10) -476*a(n-11) -672*a(n-12) +502*a(n-13) +451*a(n-14) +40*a(n-15) +604*a(n-16) -670*a(n-17) -930*a(n-18) -95*a(n-19) -98*a(n-20) +1056*a(n-21) +1159*a(n-22) -399*a(n-23) -724*a(n-24) -961*a(n-25) -326*a(n-26) +898*a(n-27) +701*a(n-28) +308*a(n-29) -177*a(n-30) -601*a(n-31) -204*a(n-32) +60*a(n-33) +125*a(n-34) +146*a(n-35) -6*a(n-36) -46*a(n-37) -26*a(n-38) -9*a(n-39) +13*a(n-40) +7*a(n-41) -2*a(n-42) -a(n-43) for n>49

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A316420.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 02 2018

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Last modified April 24 18:17 EDT 2024. Contains 371962 sequences. (Running on oeis4.)