A231994 - OEIS

%I #4 Nov 16 2013 13:37:06

%S 81,1225,28900,674041,15594601,362293156,8404672329,195072388900,

%T 4526898777801,105058031047524,2438091190374961,56581345271408896,

%U 1313093651031910225,30473226515305728361,707198080089528623376

%N Number of (n+1)X(5+1) 0..1 arrays with no element having a strict majority of its horizontal and antidiagonal neighbors equal to one

%C Column 5 of A231997

%H R. H. Hardin, <a href="/A231994/b231994.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 20*a(n-1) +179*a(n-2) -2319*a(n-3) -6465*a(n-4) +94400*a(n-5) +4135*a(n-6) -1470735*a(n-7) +1313306*a(n-8) +11370092*a(n-9) -15268354*a(n-10) -49210967*a(n-11) +80813004*a(n-12) +124534656*a(n-13) -241975664*a(n-14) -181214096*a(n-15) +440235929*a(n-16) +133638297*a(n-17) -500004759*a(n-18) -15377732*a(n-19) +357539404*a(n-20) -51988544*a(n-21) -160824989*a(n-22) +43049434*a(n-23) +44820649*a(n-24) -16338828*a(n-25) -7424574*a(n-26) +3443248*a(n-27) +659756*a(n-28) -412295*a(n-29) -21425*a(n-30) +26930*a(n-31) -745*a(n-32) -861*a(n-33) +64*a(n-34) +10*a(n-35) -a(n-36)

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 16 2013