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A231107 Number of nX7 0..3 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero 1

%I #4 Nov 03 2013 16:32:40

%S 0,230,10734,616562,34716434,1961000570,110728004898,6252665856636,

%T 353077459141674,19937713140431338,1125850289870400070,

%U 63574939703824826996,3589973718766851246796,202719992647916104671132

%N Number of nX7 0..3 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero

%C Column 7 of A231108

%H R. H. Hardin, <a href="/A231107/b231107.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 54*a(n-1) +303*a(n-2) -8438*a(n-3) -51524*a(n-4) +304033*a(n-5) +2821855*a(n-6) +3938314*a(n-7) -13596466*a(n-8) -7317780*a(n-9) +163688590*a(n-10) +90002280*a(n-11) -1572858163*a(n-12) -3882478430*a(n-13) -1389263889*a(n-14) +6381705578*a(n-15) +8394459829*a(n-16) -451552151*a(n-17) -7716187454*a(n-18) -4163172172*a(n-19) +2101705748*a(n-20) +2486771007*a(n-21) -1878604*a(n-22) -619420700*a(n-23) -11635357*a(n-24) +153476360*a(n-25) +14239386*a(n-26) -20304611*a(n-27) -1386017*a(n-28) +651720*a(n-29) -340*a(n-30) +10512*a(n-31) -256*a(n-32) for n>34

%e Some solutions for n=4

%e ..0..1..2..0..3..2..1....0..1..2..3..2..1..0....0..1..2..3..0..1..2

%e ..0..3..1..2..3..0..3....0..1..0..1..0..3..2....0..1..2..3..2..3..0

%e ..2..0..3..2..1..2..3....2..3..0..3..0..3..0....0..3..0..1..0..1..2

%e ..3..0..1..0..1..0..3....0..1..2..1..2..1..0....0..1..2..3..0..3..2

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 03 2013

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)