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A210138 Number of (n+1)X4 0..3 arrays containing all values 0..3 with every 2X2 subblock having one, two or four distinct values, and new values 0..3 introduced in row major order 1

%I

%S 105,4349,159327,5451164,178904077,5714971168,179321691502,

%T 5559548788474,170972595046842,5229087409961369,159331519832860386,

%U 4842527307715760107,146922920026150589111,4452400930651345522825,134818625964532109683635

%N Number of (n+1)X4 0..3 arrays containing all values 0..3 with every 2X2 subblock having one, two or four distinct values, and new values 0..3 introduced in row major order

%C Column 3 of A210143

%H R. H. Hardin, <a href="/A210138/b210138.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 89*a(n-1) -3068*a(n-2) +51966*a(n-3) -443001*a(n-4) +1546826*a(n-5) +1718332*a(n-6) -24576952*a(n-7) +30663994*a(n-8) +107350909*a(n-9) -226371596*a(n-10) -140409398*a(n-11) +501187032*a(n-12) -47667796*a(n-13) -343494224*a(n-14) +74492360*a(n-15) +92532416*a(n-16) -19372128*a(n-17) -8588160*a(n-18) +1382400*a(n-19)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 17 2012

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Last modified November 26 21:07 EST 2021. Contains 349344 sequences. (Running on oeis4.)