A255096 - OEIS

%I #4 Feb 14 2015 11:55:37

%S 179,539,1838,6110,20928,72639,250704,868395,3018347,10479598,

%T 36378224,126375034,439060517,1525204952,5298346147,18406546077,

%U 63945299048,222148717950,771751048840,2681087539315,9314216969134,32358021118021

%N Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 1 and no row sum 1 and no column sum 1

%C Column 3 of A255101

%H R. H. Hardin, <a href="/A255096/b255096.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -5*a(n-2) +18*a(n-3) -17*a(n-4) -5*a(n-5) -65*a(n-6) -76*a(n-7) +133*a(n-8) +215*a(n-9) +211*a(n-10) -318*a(n-11) -191*a(n-12) -34*a(n-13) +174*a(n-14) +288*a(n-15) -356*a(n-16) -568*a(n-17) -431*a(n-18) +165*a(n-19) +589*a(n-20) +542*a(n-21) +244*a(n-22) +7*a(n-23) -137*a(n-24) -138*a(n-25) -140*a(n-26) -72*a(n-27) -32*a(n-28) -4*a(n-29) for n>31

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A255101

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 14 2015