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 A207450 Number of n X 5 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 0 1 vertically. 1

%I

%S 16,256,1008,2560,5200,9216,14896,22528,32400,44800,60016,78336,

%T 100048,125440,154800,188416,226576,269568,317680,371200,430416,

%U 495616,567088,645120,730000,822016,921456,1028608,1143760,1267200,1399216,1540096

%N Number of n X 5 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 0 1 vertically.

%C Column 5 of A207453.

%H R. H. Hardin, <a href="/A207450/b207450.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 48*n^3 - 32*n^2.

%F Conjectures from _Colin Barker_, Jun 23 2018: (Start)

%F G.f.: 16*x*(1 + 12*x + 5*x^2) / (1 - x)^4.

%F a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n>4.

%F (End).

%e Some solutions for n=5:

%e 0 1 1 1 0 1 1 0 1 0 0 1 1 0 1 0 1 1 0 0

%e 1 0 1 0 1 0 1 1 0 1 1 1 0 1 1 0 1 0 1 1

%e 1 0 1 0 0 0 1 1 0 0 1 1 0 1 1 0 1 0 1 0

%e 1 0 1 0 0 0 1 1 0 0 1 1 0 1 1 0 1 0 1 0

%e 1 0 1 0 0 0 1 1 0 0 0 1 0 1 1 0 1 0 1 0

%Y Cf. A207453.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 17 2012

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Last modified December 1 22:12 EST 2022. Contains 358484 sequences. (Running on oeis4.)