|
%I #4 Jan 11 2015 09:59:33
%S 7803,29737,247252,1143174,5195288,17656505,54890203,150904540,
%T 390365827,928677156,2090553259,4473135405,9220179921,18291567088,
%U 35191833486,65909750009,120749865702,216723296865,382241803433,663962769116
%N Number of (n+1)X(4+1) 0..2 arrays with every 2X2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically
%C Column 4 of A253749
%H R. H. Hardin, <a href="/A253745/b253745.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 7*a(n-1) -21*a(n-2) +36*a(n-3) -34*a(n-4) -11*a(n-5) +107*a(n-6) -199*a(n-7) +198*a(n-8) -46*a(n-9) -232*a(n-10) +461*a(n-11) -440*a(n-12) +141*a(n-13) +295*a(n-14) -581*a(n-15) +490*a(n-16) -120*a(n-17) -270*a(n-18) +435*a(n-19) -274*a(n-20) -17*a(n-21) +201*a(n-22) -201*a(n-23) +54*a(n-24) +86*a(n-25) -112*a(n-26) +59*a(n-27) +12*a(n-28) -49*a(n-29) +37*a(n-30) -11*a(n-31) -5*a(n-32) +9*a(n-33) -5*a(n-34) +a(n-35) for n>47
%e Some solutions for n=2
%e ..2..1..0..0..1....1..0..0..0..0....0..0..0..1..2....0..1..2..2..2
%e ..2..1..1..1..1....0..0..0..0..2....0..0..1..2..2....1..1..1..1..1
%e ..2..2..2..2..0....1..1..1..0..2....2..2..1..1..2....2..2..2..2..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 11 2015
| 