A255762 - OEIS

%I #4 Mar 05 2015 14:17:15

%S 794128,290525,145536,306248,300504,733081,739776,1603012,1998480,

%T 4087836,5951488,11586092,18011344,33446520,52638248,91911020,

%U 141968656,236249776,355847440,566125804,828298440,1272368584,1814128584

%N Number of (7+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the medians of the diagonal and antidiagonal minus the two sums of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally

%C Row 7 of A255756

%H R. H. Hardin, <a href="/A255762/b255762.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) -45*a(n-2) +120*a(n-3) -202*a(n-4) +172*a(n-5) +150*a(n-6) -840*a(n-7) +1619*a(n-8) -1846*a(n-9) +959*a(n-10) +960*a(n-11) -3000*a(n-12) +3952*a(n-13) -3352*a(n-14) +1920*a(n-15) -720*a(n-16) +160*a(n-17) -16*a(n-18) for n>53

%e Some solutions for n=1

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

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

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

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

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

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

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

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

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

%Y Cf. A255756

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 05 2015