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A279582 Number of 3Xn 0..2 arrays with no element equal 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

%S 0,40,944,20776,406200,7630156,138602548,2461556084,42965101580,

%T 739900893296,12604712050308,212833814657368,3567237354560504,

%U 59415173946814708,984289294203593368,16229966112949514160

%N Number of 3Xn 0..2 arrays with no element equal 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 Row 3 of A279580.

%H R. H. Hardin, <a href="/A279582/b279582.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 30*a(n-1) -193*a(n-2) -806*a(n-3) +5244*a(n-4) -3702*a(n-5) -44457*a(n-6) +168874*a(n-7) -44225*a(n-8) -677108*a(n-9) +1762660*a(n-10) -3494200*a(n-11) +2285580*a(n-12) +7892104*a(n-13) -49295732*a(n-14) +85826880*a(n-15) +16178028*a(n-16) +39772848*a(n-17) -8887104*a(n-18) -709316944*a(n-19) -206842096*a(n-20) +1139690528*a(n-21) +669113648*a(n-22) +469494336*a(n-23) -502677568*a(n-24) -1400698624*a(n-25) -681275392*a(n-26) -151843840*a(n-27) +134114304*a(n-28) +595562496*a(n-29) +3567616*a(n-30) +175964160*a(n-31) -113377280*a(n-32) -26214400*a(n-34) for n>35

%e Some solutions for n=4

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

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

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

%Y Cf. A279580.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 15 2016

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Last modified January 25 05:34 EST 2022. Contains 350565 sequences. (Running on oeis4.)