|
%I #4 Apr 05 2013 12:10:59
%S 1024,100000,1268572,8573507,45648753,211856287,882833522,3343528551,
%T 11604617405,37199618077,110964317169,310166468938,817551602005,
%U 2043560704475,4868244723248,11101332102787,24326305539913
%N Number of 5Xn 0..3 arrays with diagonals and antidiagonals unimodal and rows nondecreasing
%C Row 5 of A224391
%H R. H. Hardin, <a href="/A224394/b224394.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = (769/444787200)*n^15 + (348923/10897286400)*n^14 + (1834741/3113510400)*n^13 + (1653961/239500800)*n^12 + (15881209/239500800)*n^11 + (3185767/4354560)*n^10 + (6331231/21772800)*n^9 + (8051546371/152409600)*n^8 - (92949613/680400)*n^7 + (29776075747/21772800)*n^6 - (235108166129/119750400)*n^5 + (1142919607439/59875200)*n^4 - (2395878032771/43243200)*n^3 + (4577919285997/37837800)*n^2 - (3999067013/10010)*n + 824171 for n>7
%e Some solutions for n=3
%e ..0..0..0....0..0..2....0..0..2....0..0..2....0..0..2....0..2..2....0..2..2
%e ..2..2..3....1..2..2....1..2..2....0..2..2....1..2..3....1..2..3....1..2..3
%e ..2..2..2....1..1..2....1..2..2....0..2..3....2..3..3....1..2..3....0..2..2
%e ..1..2..2....0..2..2....0..2..3....0..2..2....2..3..3....1..1..2....0..2..3
%e ..1..1..2....1..3..3....2..2..2....1..3..3....2..3..3....0..1..3....0..2..3
%K nonn
%O 1,1
%A _R. H. Hardin_ Apr 05 2013
| 