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Number of nX5 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.
1

%I #4 Jan 02 2017 10:42:08

%S 8,34,769,15476,292622,5338004,95102542,1664838008,28747146050,

%T 490958066148,8309711235070,139594601552248,2330194531344066,

%U 38685611296842452,639226798432600750,10518756259067233176

%N Number of nX5 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

%C Column 5 of A280398.

%H R. H. Hardin, <a href="/A280395/b280395.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 62*a(n-1) -1689*a(n-2) +27708*a(n-3) -317054*a(n-4) +2742180*a(n-5) -18792682*a(n-6) +105117296*a(n-7) -489211669*a(n-8) +1918107326*a(n-9) -6385629933*a(n-10) +18129670212*a(n-11) -43970324140*a(n-12) +91044631344*a(n-13) -160522270160*a(n-14) +239886399040*a(n-15) -301819629440*a(n-16) +316752389376*a(n-17) -273752283136*a(n-18) +191350312960*a(n-19) -105370821632*a(n-20) +43909677056*a(n-21) -12957122560*a(n-22) +2392850432*a(n-23) -205520896*a(n-24) for n>25

%e Some solutions for n=4

%e ..0..0..1..1..1. .0..0..1..1..2. .0..0..1..1..0. .0..0..0..0..0

%e ..1..1..1..2..2. .0..1..1..2..2. .0..1..1..0..0. .1..1..1..1..0

%e ..2..2..2..2..2. .1..2..1..1..2. .0..0..0..1..1. .0..0..0..0..1

%e ..1..1..1..1..1. .1..1..1..2..2. .2..2..1..1..1. .1..1..1..1..1

%Y Cf. A280398.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 02 2017