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%I #6 Feb 22 2020 20:54:24
%S 11,726,30145,1414023,64166392,2937839117,134185561617,6132878568838,
%T 280251085790917,12807094593314569,585259459542315836,
%U 26745316717727432935,1222212300246808969679,55852891619111893009138
%N Number of nX4 0..2 arrays with no occurrence of three equal elements in a row horizontally or vertically, and new values 0..2 introduced in row major order
%C Column 4 of A206650
%H R. H. Hardin, <a href="/A206646/b206646.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 32*a(n-1) +710*a(n-2) -2541*a(n-3) -58297*a(n-4) -84383*a(n-5) +1296007*a(n-6) +19243146*a(n-7) -64100368*a(n-8) -141520351*a(n-9) -1609731097*a(n-10) +10556269325*a(n-11) -1431133322*a(n-12) -12602899768*a(n-13) -179460913672*a(n-14) +178320472600*a(n-15) +457844879304*a(n-16) +595922150908*a(n-17) -899085837736*a(n-18) -1898963195864*a(n-19) +193666862880*a(n-20) -8060600474896*a(n-21) -2249882888064*a(n-22) +8612081648096*a(n-23) +44225847784512*a(n-24) +38378919985472*a(n-25) +69536075213440*a(n-26) +42924805038720*a(n-27) -257043560481280*a(n-28) -614121185315072*a(n-29) -507075609021440*a(n-30) +75385866295808*a(n-31) -87056512295936*a(n-32) +1144300402821120*a(n-33) +2589943188324352*a(n-34) +1127593852403712*a(n-35) +1688975302180864*a(n-36) +2333630124032000*a(n-37) +315178737991680*a(n-38) +277744289841152*a(n-39) +675889502224384*a(n-40) +3390499192832*a(n-41) -29496566611968*a(n-42) +58586896007168*a(n-43) -11515063173120*a(n-44) -4815623028736*a(n-45) -5027125002240*a(n-46) -1599472664576*a(n-47) +914224054272*a(n-48) -855101145088*a(n-49) -3758096384*a(n-50) -53687091200*a(n-51) -60129542144*a(n-52) +21474836480*a(n-53)
%e Some solutions for n=4
%e ..0..0..1..1....0..1..0..2....0..1..0..2....0..1..2..1....0..0..1..1
%e ..2..0..1..0....1..1..2..2....1..2..2..1....2..2..1..2....1..1..2..0
%e ..0..2..2..1....1..2..2..1....1..0..1..1....0..2..2..0....0..1..2..2
%e ..2..0..0..1....2..1..0..1....0..0..2..0....0..0..2..1....0..0..1..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Feb 11 2012
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