A255086 - OEIS

%I #4 Feb 14 2015 10:45:01

%S 623,964,1824,3696,8631,20972,50587,121381,289648,701088,1737609,

%T 4327355,10735123,26444233,64662794,158688694,392717716,975036966,

%U 2421077247,5990164156,14752122313,36347205053,89808485699,222347952612

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

%C Column 3 of A255091

%H R. H. Hardin, <a href="/A255086/b255086.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +7*a(n-3) -17*a(n-4) +9*a(n-5) +109*a(n-6) -137*a(n-7) -63*a(n-8) -799*a(n-9) +1061*a(n-10) +477*a(n-11) -2311*a(n-12) +1787*a(n-13) +718*a(n-14) +13283*a(n-15) -14431*a(n-16) -6966*a(n-17) +10362*a(n-18) -3426*a(n-19) -2288*a(n-20) -22562*a(n-21) +25618*a(n-22) +22752*a(n-23) -27356*a(n-24) +4456*a(n-25) +2308*a(n-26) +32364*a(n-27) -34920*a(n-28) -23400*a(n-29) +23040*a(n-30) +324*a(n-31) +2916*a(n-33) -2916*a(n-34) for n>39

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A255091

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 14 2015