A224202 - OEIS

%I #4 Apr 01 2013 09:50:40

%S 610,59792,2734683,93052770,2981774784,96914926654,3202561268692,

%T 106630751360602,3558964686578544,118857103988506092,

%U 3969834734632962762,132593577206338949766,4428640833523450577612,147916669230853276174408

%N Number of nX6 0..3 arrays with rows unimodal and antidiagonals nondecreasing

%C Column 6 of A224204

%H R. H. Hardin, <a href="/A224202/b224202.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) for n>32

%e Some solutions for n=3

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

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

%e ..2..2..2..2..3..3....0..0..3..2..2..0....2..2..2..3..2..2....0..0..3..3..3..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 01 2013