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Number of (n+2)X(7+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 and vertically
1

%I #8 Mar 05 2015 14:23:54

%S 794128,1323795,1795490,3986282,7695684,15676281,29838772,55992976,

%T 100413564,176175692,297995148,493162840,792361276,1249168284,

%U 1921781524,2908426536,4313307192,6311925400,9077791868,12909434532,18083815180

%N Number of (n+2)X(7+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 and vertically

%C Column 7 of A254845

%H R. H. Hardin, <a href="/A254844/b254844.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..0..0..1..0..1..0..0..0....0..0..0..1..1..0..0..0..0

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 08 2015