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A228759 Number of 7Xn binary arrays with top left element equal to 1 and no two ones adjacent horizontally or antidiagonally.

%I A228759 #7 Sep 03 2013 23:53:28
%S A228759 64,377,13386,182288,3990739,67970044,1316714732,23857469157,
%T A228759 447258711806,8241043078032,153166086017419,2834527196647128,
%U A228759 52566815845439784,973865461678268901,18050953034169454470
%N A228759 Number of 7Xn binary arrays with top left element equal to 1 and no two ones adjacent horizontally or antidiagonally.
%C A228759 Row 7 of A228754
%H A228759 R. H. Hardin, <a href="/A228759/b228759.txt">Table of n, a(n) for n = 1..210</a>
%F A228759 Empirical: a(n) = a(n-1) +288*a(n-2) +1417*a(n-3) -11199*a(n-4) -59098*a(n-5) +236338*a(n-6) +948288*a(n-7) -3278724*a(n-8) -6872522*a(n-9) +27696998*a(n-10) +17458752*a(n-11) -128873759*a(n-12) +35614933*a(n-13) +298960774*a(n-14) -258487597*a(n-15) -292412017*a(n-16) +426432960*a(n-17) +93229829*a(n-18) -323469437*a(n-19) +28233040*a(n-20) +135906279*a(n-21) -29253017*a(n-22) -34819910*a(n-23) +8867758*a(n-24) +5748836*a(n-25) -1311708*a(n-26) -619302*a(n-27) +94650*a(n-28) +41064*a(n-29) -2481*a(n-30) -1413*a(n-31) -22*a(n-32) +17*a(n-33) +a(n-34)
%e A228759 Some solutions for n=4
%e A228759 ..1..0..0..1....1..0..0..0....1..0..0..0....1..0..0..0....1..0..0..1
%e A228759 ..0..0..0..0....0..0..1..0....1..0..0..0....1..0..0..0....0..1..0..0
%e A228759 ..1..0..1..0....1..0..1..0....0..0..1..0....1..0..0..0....0..0..0..1
%e A228759 ..1..0..0..0....1..0..1..0....0..0..1..0....0..1..0..1....1..0..0..0
%e A228759 ..0..0..1..0....1..0..1..0....0..0..0..0....0..0..0..0....1..0..0..0
%e A228759 ..1..0..0..1....1..0..1..0....1..0..0..1....0..1..0..1....0..0..0..1
%e A228759 ..0..0..0..1....1..0..1..0....0..0..0..1....0..1..0..0....0..1..0..1
%K A228759 nonn
%O A228759 1,1
%A A228759 _R. H. Hardin_ Sep 02 2013