A188704 - OEIS

%I #5 Mar 31 2012 12:36:13

%S 128,987,30825,438048,9413801,161506225,3118943536,56585607231,

%T 1060220669261,19540000913840,363127600370277,6720433284624777,

%U 124629114169963492,2308929622288774467,42796685753793213877

%N Number of nX7 binary arrays without the pattern 0 0 diagonally or vertically

%C Column 7 of A188706

%H R. H. Hardin, <a href="/A188704/b188704.txt">Table of n, a(n) for n = 1..200</a>

%F 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 Some solutions for 3X7

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 08 2011