A250589 - OEIS

%I #4 Nov 25 2014 13:32:27

%S 8625,59160,333355,1686514,7838610,34503682,145409040,595065843,

%T 2377121443,9335358862,36144381110,138522317644,526404191153,

%U 1988403996653,7473849368743,27996884288652,104587966104872

%N Number of (n+1)X(5+1) 0..2 arrays with nondecreasing max(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction

%C Column 5 of A250592

%H R. H. Hardin, <a href="/A250589/b250589.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 20*a(n-1) -142*a(n-2) +208*a(n-3) +2725*a(n-4) -15261*a(n-5) +8294*a(n-6) +172548*a(n-7) -521171*a(n-8) -395240*a(n-9) +4773332*a(n-10) -5923544*a(n-11) -17684878*a(n-12) +55922728*a(n-13) +996884*a(n-14) -217723306*a(n-15) +252927943*a(n-16) +384433618*a(n-17) -1078638107*a(n-18) +110644587*a(n-19) +2220540447*a(n-20) -2100319081*a(n-21) -2131014704*a(n-22) +4834767824*a(n-23) -525198323*a(n-24) -5572935189*a(n-25) +4122094724*a(n-26) +2960973976*a(n-27) -5263643960*a(n-28) +529467255*a(n-29) +3343709842*a(n-30) -1909188069*a(n-31) -942962634*a(n-32) +1297322988*a(n-33) -116323104*a(n-34) -429249290*a(n-35) +183224257*a(n-36) +60177703*a(n-37) -61346606*a(n-38) +4409663*a(n-39) +9604059*a(n-40) -2885635*a(n-41) -571361*a(n-42) +407795*a(n-43) -25859*a(n-44) -22758*a(n-45) +4716*a(n-46) +224*a(n-47) -149*a(n-48) +12*a(n-49) for n>54

%e Some solutions for n=2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 25 2014