A254974 - OEIS

%I #4 Feb 11 2015 10:12:05

%S 3241,27211,260705,1892418,14786310,120085764,951267911,7494431489,

%T 59709702434,473847733773,3757980587400,29825116687330,

%U 236770995685946,1878703640012247,14910445860905663,118333968933268836

%N Number of (n+2)X(4+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 0 and no column sum 0

%C Column 4 of A254978

%H R. H. Hardin, <a href="/A254974/b254974.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +42*a(n-2) +4*a(n-3) -373*a(n-4) -3171*a(n-5) -340*a(n-6) +31399*a(n-7) +28481*a(n-8) -38415*a(n-9) -27340*a(n-10) -260133*a(n-11) -1345298*a(n-12) -682478*a(n-13) +2818480*a(n-14) +6346486*a(n-15) +8371961*a(n-16) -11415500*a(n-17) +22768770*a(n-18) +37235869*a(n-19) -43046177*a(n-20) -292113935*a(n-21) -239077408*a(n-22) +199278997*a(n-23) +348376790*a(n-24) +626562127*a(n-25) +568953282*a(n-26) +399192152*a(n-27) -976190372*a(n-28) -1636963621*a(n-29) -1179696383*a(n-30) +65151326*a(n-31) +1488115213*a(n-32) +1482464817*a(n-33) +1033860067*a(n-34) -16484385*a(n-35) -1559191657*a(n-36) -647652100*a(n-37) -1499834855*a(n-38) +184137879*a(n-39) +285344255*a(n-40) +553269503*a(n-41) -26657652*a(n-42) +319783386*a(n-43) -182559604*a(n-44) -75409727*a(n-45) -87857491*a(n-46) +65414434*a(n-47) -32261401*a(n-48) +21111422*a(n-49) +46144839*a(n-50) +22948210*a(n-51) -19416406*a(n-52) -6591836*a(n-53) +3223304*a(n-54) +757004*a(n-55) -302552*a(n-56) -632*a(n-57) +7792*a(n-58) -704*a(n-59) for n>62

%e Some solutions for n=2

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 11 2015