A258545 - OEIS

%I #4 Jun 02 2015 10:09:30

%S 220,784,784,2520,2916,2520,8100,8836,8836,8100,25056,27889,20736,

%T 27889,25056,77284,81796,57600,57600,81796,77284,234848,241081,142544,

%U 161604,142544,241081,234848,712336,682276,381924,367236,367236,381924,682276

%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum or central row sum equal to the central column sum

%C Table starts

%C .....220......784.....2520.....8100....25056.....77284....234848....712336

%C .....784.....2916.....8836....27889....81796....241081....682276...1915456

%C ....2520.....8836....20736....57600...142544....381924....956736...2496400

%C ....8100....27889....57600...161604...367236....996004...2414916...6441444

%C ...25056....81796...142544...367236...726880...1784896...3826716...9302500

%C ...77284...241081...381924...996004..1784896...4359744...8773444..21372129

%C ..234848...682276...956736..2414916..3826716...8773444..15444224..34739236

%C ..712336..1915456..2496400..6441444..9302500..21372129..34739236..78039556

%C .2148108..5262436..6344576.16224784.21443688..47499664..68785192.145154304

%C .6471936.14341369.16467364.42954916.53027524.118113424.159314884.335292721

%H R. H. Hardin, <a href="/A258545/b258545.txt">Table of n, a(n) for n = 1..793</a>

%F Empirical for column k:

%F k=1: a(n) = 5*a(n-1) -32*a(n-3) +34*a(n-4) +54*a(n-5) -96*a(n-6) +63*a(n-8) -27*a(n-9)

%F k=2: [order 42] for n>44

%F k=3: [order 23] for n>26

%F k=4: [order 47] for n>48

%F k=5: [order 24] for n>27

%F k=6: [same order 47] for n>49

%F k=7: [same order 24] for n>27

%e Some solutions for n=4 k=4

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

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jun 02 2015