A254843 - OEIS

%I #8 Mar 05 2015 14:23:33

%S 293012,645882,1102937,2339906,4446577,8565304,15676281,28139328,

%T 48596429,82388048,136361257,223504512,356863993,570593176,914443809,

%U 1491899182,2395605969,3985181976,6852332885,12324434772,21543373065

%N Number of (n+2)X(6+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 6 of A254845

%H R. H. Hardin, <a href="/A254843/b254843.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -29*a(n-2) +64*a(n-3) -77*a(n-4) -56*a(n-5) +511*a(n-6) -1280*a(n-7) +1945*a(n-8) -1672*a(n-9) -379*a(n-10) +4032*a(n-11) -7559*a(n-12) +8728*a(n-13) -6355*a(n-14) +1280*a(n-15) +3836*a(n-16) -6496*a(n-17) +6188*a(n-18) -4096*a(n-19) +1856*a(n-20) -512*a(n-21) +64*a(n-22) for n>54

%e Some solutions for n=1

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 08 2015