|
%I #4 Mar 30 2013 09:54:05
%S 84,7056,387729,16861106,646270418,23151623729,800511624819,
%T 27185446777503,915085673227317,30672939766468469,1026121422083211534,
%U 34296931507964424065,1145877902919763472821,38277578417660461200345
%N Number of nX6 0..3 arrays with rows nondecreasing and antidiagonals unimodal
%C Column 6 of A224024
%H R. H. Hardin, <a href="/A224022/b224022.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 84*a(n-1) -2771*a(n-2) +49004*a(n-3) -526214*a(n-4) +3641009*a(n-5) -16632719*a(n-6) +48536326*a(n-7) -53423733*a(n-8) -313959977*a(n-9) +1729942603*a(n-10) -7086418537*a(n-11) +13780962535*a(n-12) +5231265096*a(n-13) -20279410782*a(n-14) +609579098232*a(n-15) +294855159788*a(n-16) +2331852968592*a(n-17) +7276333185488*a(n-18) +4826951354776*a(n-19) +18771064269632*a(n-20) +25683656373760*a(n-21) +16941876341184*a(n-22) +25615354625280*a(n-23) +22113238049280*a(n-24) +5504163840000*a(n-25)
%e Some solutions for n=3
%e ..0..0..0..0..0..1....0..0..0..1..2..3....0..0..1..1..1..1....0..0..0..2..2..2
%e ..0..1..2..2..2..3....0..0..2..3..3..3....0..0..1..2..2..2....0..0..2..2..3..3
%e ..0..1..2..2..2..2....0..0..1..3..3..3....0..0..1..2..2..3....1..1..1..2..3..3
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 30 2013
| 