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 A230589 Number of nX3 0..5 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 6, and upper left element zero 1

%I #4 Oct 24 2013 07:24:23

%S 0,2,28,270,2966,34684,405122,4682406,53977396,622617950,7184471690,

%T 82901373580,956544304506,11036808012474,127345448758460,

%U 1469346402844134,16953716335937734,195616511948606684

%N Number of nX3 0..5 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 6, and upper left element zero

%C Column 3 of A230592

%H R. H. Hardin, <a href="/A230589/b230589.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 25*a(n-1) -240*a(n-2) +1314*a(n-3) -4747*a(n-4) +11211*a(n-5) -17017*a(n-6) +28739*a(n-7) -79128*a(n-8) +115064*a(n-9) +19357*a(n-10) -100001*a(n-11) -204372*a(n-12) +250392*a(n-13) +78184*a(n-14) +59884*a(n-15) +82996*a(n-16) +34212*a(n-17) +19496*a(n-18) +1304*a(n-19) -608*a(n-20)

%e Some solutions for n=3

%e ..0..1..2....0..1..0....0..1..2....0..1..0....0..5..4....0..5..4....0..5..4

%e ..5..4..3....5..2..5....5..4..3....1..2..5....1..4..1....1..2..3....1..4..3

%e ..4..3..2....4..3..2....2..3..2....2..3..4....2..3..2....0..5..4....2..3..2

%K nonn

%O 1,2

%A _R. H. Hardin_, Oct 24 2013

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Last modified December 7 23:30 EST 2023. Contains 367662 sequences. (Running on oeis4.)