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A282476 Number of nX3 0..1 arrays with no 1 equal to more than three of its king-move neighbors, with the exception of exactly two elements. 1

%I #4 Feb 16 2017 09:57:39

%S 0,5,40,483,4328,36425,297210,2327123,17768964,132986406,978703597,

%T 7105001436,50987747977,362304776490,2552515814181,17848926362232,

%U 123989575656587,856256223208439,5882111754640392,40216030450523925

%N Number of nX3 0..1 arrays with no 1 equal to more than three of its king-move neighbors, with the exception of exactly two elements.

%C Column 3 of A282481.

%H R. H. Hardin, <a href="/A282476/b282476.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 15*a(n-1) -60*a(n-2) +38*a(n-3) -417*a(n-4) +2211*a(n-5) +254*a(n-6) +9714*a(n-7) -19866*a(n-8) +11292*a(n-9) -83508*a(n-10) +94758*a(n-11) -162290*a(n-12) +333372*a(n-13) -354804*a(n-14) +698218*a(n-15) -723297*a(n-16) +960537*a(n-17) -1190332*a(n-18) +1011360*a(n-19) -1264665*a(n-20) +756661*a(n-21) -868110*a(n-22) +386904*a(n-23) -278456*a(n-24) +47328*a(n-25) -2976*a(n-26) +64*a(n-27)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A282481.

%K nonn

%O 1,2

%A _R. H. Hardin_, Feb 16 2017

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)