A203727 - OEIS

%I #5 Mar 31 2012 12:36:58

%S 13665,69612,367595,1728140,7508980,29840078,108633030,365326803,

%T 1143413488,3354616070,9280999295,24345047529,60836152145,

%U 145450899834,333992270229,739111273479,1581104447457,3278467967427,6605334975638

%N Number of (n+1)X8 0..2 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively

%C Column 7 of A203728

%H R. H. Hardin, <a href="/A203727/b203727.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) -36*a(n-2) +30*a(n-3) +159*a(n-4) -468*a(n-5) +144*a(n-6) +1332*a(n-7) -2061*a(n-8) -818*a(n-9) +4940*a(n-10) -3078*a(n-11) -4845*a(n-12) +7752*a(n-13) -7752*a(n-15) +4845*a(n-16) +3078*a(n-17) -4940*a(n-18) +818*a(n-19) +2061*a(n-20) -1332*a(n-21) -144*a(n-22) +468*a(n-23) -159*a(n-24) -30*a(n-25) +36*a(n-26) -10*a(n-27) +a(n-28) for n>42

%e Some solutions for n=4

%e ..2..0..2..2..2..2..2..2....1..1..1..1..1..2..2..2....1..0..1..0..1..1..1..1

%e ..0..2..2..2..2..2..2..2....2..2..2..2..2..2..2..2....1..2..1..2..1..1..2..2

%e ..1..2..2..2..2..2..2..2....2..2..2..2..2..2..2..2....2..1..2..1..2..2..2..2

%e ..1..2..2..2..2..2..2..2....2..2..2..2..2..2..2..2....1..2..1..2..2..2..2..2

%e ..1..2..2..2..2..2..2..2....2..2..2..2..2..2..2..2....2..1..2..2..2..2..2..2

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 05 2012