A232046 - OEIS

%I #4 Nov 17 2013 07:44:10

%S 37,426,21680,1060850,55505057,2882322121,149582129861,7766282047395,

%T 403179428472169,20931014633412316,1086631809725472699,

%U 56412330010727022796,2928639202177098316335,152039923888661955022045

%N Number of nX7 0..1 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors

%C Column 7 of A232047

%H R. H. Hardin, <a href="/A232046/b232046.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 37*a(n-1) +1006*a(n-2) -7908*a(n-3) -238744*a(n-4) +827527*a(n-5) +25644226*a(n-6) -60426052*a(n-7) -1492286296*a(n-8) +3633925342*a(n-9) +43875666568*a(n-10) -107977809709*a(n-11) -703020167435*a(n-12) +1582946864094*a(n-13) +6861058051370*a(n-14) -13007490174177*a(n-15) -46519199569498*a(n-16) +69047601485641*a(n-17) +229859178338360*a(n-18) -242130553402589*a(n-19) -832929979409983*a(n-20) +545952115529243*a(n-21) +2151614123430291*a(n-22) -774525810027452*a(n-23) -3911959857587902*a(n-24) +671585850443119*a(n-25) +4994005418173713*a(n-26) -331105726209586*a(n-27) -4446327813002721*a(n-28) +67432823122826*a(n-29) +2717194954748778*a(n-30) +19167495231573*a(n-31) -1114986545930127*a(n-32) -19793693900133*a(n-33) +300747559736654*a(n-34) +7123485575828*a(n-35) -52288217100393*a(n-36) -1364793526983*a(n-37) +5761797739537*a(n-38) +137423835774*a(n-39) -389750002988*a(n-40) -4269685856*a(n-41) +15838342144*a(n-42) -48642048*a(n-43) -297844736*a(n-44) for n>47

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 17 2013