A256948 - OEIS

%I #4 Apr 13 2015 20:45:31

%S 2554,13349,66542,262251,844499,2396710,6268245,15240141,34366037,

%T 73532563,151376143,300641702,577321492,1080395302,1979809481,

%U 3555813611,6272004915,10905756945,18725699038,31765068089,53317281722,88726986314

%N Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the central row and central column minus the two minimums of the diagonal and antidiagonal nondecreasing horizontally and vertically

%C Column 2 of A256954

%H R. H. Hardin, <a href="/A256948/b256948.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -13*a(n-2) +14*a(n-3) -13*a(n-4) +a(n-5) +42*a(n-6) -58*a(n-7) +36*a(n-8) -46*a(n-9) -11*a(n-10) +110*a(n-11) -129*a(n-12) +178*a(n-13) -64*a(n-14) -139*a(n-15) +99*a(n-16) -198*a(n-17) +230*a(n-18) -37*a(n-19) +105*a(n-20) -130*a(n-21) +155*a(n-22) -101*a(n-23) -134*a(n-24) +232*a(n-25) -533*a(n-26) +202*a(n-27) +452*a(n-28) +96*a(n-29) -732*a(n-30) +309*a(n-31) +761*a(n-32) -681*a(n-33) -702*a(n-34) +688*a(n-35) +552*a(n-36) -938*a(n-37) -12*a(n-38) +892*a(n-39) -172*a(n-40) -652*a(n-41) +252*a(n-42) +324*a(n-43) -296*a(n-44) -112*a(n-45) +192*a(n-46) +56*a(n-47) -80*a(n-48) -16*a(n-49) +16*a(n-50) for n>63

%e Some solutions for n=3

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

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

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

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

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

%Y Cf. A256954

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 13 2015