login
Number of nX5 0..2 arrays with rows unimodal and antidiagonals nondecreasing
1

%I #4 Apr 05 2013 07:09:21

%S 86,1915,26314,311367,3607078,42132769,495660330,5848449149,

%T 69064897862,815702088065,9633856474182,113778532335717,

%U 1343744395119438,15869813554422065,187424656004529134,2213510515188443829

%N Number of nX5 0..2 arrays with rows unimodal and antidiagonals nondecreasing

%C Column 5 of A224374

%H R. H. Hardin, <a href="/A224371/b224371.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 21*a(n-1) -141*a(n-2) +427*a(n-3) -546*a(n-4) +526*a(n-5) -2124*a(n-6) +3302*a(n-7) +2396*a(n-8) +7504*a(n-9) +580*a(n-10) +1632*a(n-11) for n>13

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 05 2013