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 A185799 Number of (n+1) X 2 0..3 arrays with every 2 X 2 subblock trace equal to some horizontal or vertical neighbor 2 X 2 subblock trace. 2

%I #10 Feb 28 2018 06:51:48

%S 0,704,2176,30976,166272,1567936,10419200,85438016,615338112,

%T 4793908736,35590710400,272110337728,2043420143616,15514205504320,

%U 117001754129792,885993008059136,6692427408972672,50629009974094016,382657950434206720

%N Number of (n+1) X 2 0..3 arrays with every 2 X 2 subblock trace equal to some horizontal or vertical neighbor 2 X 2 subblock trace.

%C Column 1 of A185807.

%H R. H. Hardin, <a href="/A185799/b185799.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 10*a(n-1) - 21*a(n-2) - 54*a(n-3) + 799*a(n-4) - 2466*a(n-5) + 5260*a(n-6) - 4944*a(n-7) + 3456*a(n-8).

%F Empirical g.f.: 64*x^2*(11 - 76*x + 375*x^2 - 934*x^3 + 1730*x^4 - 1536*x^5 + 1008*x^6) / (1 - 10*x + 21*x^2 + 54*x^3 - 799*x^4 + 2466*x^5 - 5260*x^6 + 4944*x^7 - 3456*x^8). - _Colin Barker_, Feb 28 2018

%e Some solutions for 3 X 2:

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

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

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

%Y Cf. A185807.

%K nonn

%O 1,2

%A _R. H. Hardin_, Feb 04 2011

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Last modified May 31 22:36 EDT 2023. Contains 363068 sequences. (Running on oeis4.)