cp's OEIS Frontend

A207734 Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 1 and 1 0 1 vertically.

%I A207734 #7 Jul 22 2025 20:44:50
%S A207734 31,961,2449,6241,88243,1247689,4799749,18464209,184732327,1848226081,
%T A207734 8873643337,42603849649,355158126283,2960701807561,16146759616669,
%U A207734 88059474768001,662598445609375,4985683837890625,29297113012890625
%N A207734 Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 1 and 1 0 1 vertically.
%C A207734 Row 7 of A207729
%H A207734 R. H. Hardin, <a href="/A207734/b207734.txt">Table of n, a(n) for n = 1..210</a>
%F A207734 Empirical: a(n) = a(n-1) +48*a(n-3) +1512*a(n-4) +180*a(n-5) +612*a(n-6) -15840*a(n-7) -496179*a(n-8) -159489*a(n-9) +110160*a(n-10) +986580*a(n-11) +48988800*a(n-12) +17204400*a(n-13) +52488000*a(n-15) -1049760000*a(n-16)
%e A207734 Some solutions for n=4
%e A207734 ..0..0..1..1....1..0..0..1....1..0..0..1....1..1..1..1....0..0..1..1
%e A207734 ..0..1..1..1....1..1..0..1....1..0..0..1....0..0..1..1....0..1..1..1
%e A207734 ..1..0..1..1....1..0..0..1....1..1..0..1....0..0..1..1....0..0..1..1
%e A207734 ..0..0..1..1....1..0..0..1....1..0..0..1....1..0..1..1....1..0..1..1
%e A207734 ..0..0..1..1....1..0..0..1....1..0..0..1....0..1..1..1....0..1..1..1
%e A207734 ..1..0..1..1....1..1..0..1....1..0..0..1....0..0..1..1....0..0..1..1
%e A207734 ..0..1..1..0....1..0..1..1....1..0..1..1....1..0..1..1....1..0..0..1
%K A207734 nonn
%O A207734 1,1
%A A207734 _R. H. Hardin_ Feb 19 2012