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%I #4 Nov 26 2014 22:08:59
%S 2597784,52069631,774796977,9230232528,89662106062,740660856529,
%T 5300798582250,33613420960066,191385438807546,991589011115855,
%U 4718620570631393,20803063210970899,85537874274694531,330034463452972607
%N Number of (n+1)X(7+1) 0..3 arrays with nondecreasing 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 7 of A250707
%H R. H. Hardin, <a href="/A250706/b250706.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 12*a(n-1) -47*a(n-2) -8*a(n-3) +588*a(n-4) -1336*a(n-5) -1836*a(n-6) +11736*a(n-7) -7506*a(n-8) -46064*a(n-9) +86802*a(n-10) +77000*a(n-11) -366340*a(n-12) +107160*a(n-13) +902500*a(n-14) -986328*a(n-15) -1290879*a(n-16) +2941884*a(n-17) +477071*a(n-18) -5410896*a(n-19) +2483224*a(n-20) +6568528*a(n-21) -6969048*a(n-22) -4646032*a(n-23) +10453572*a(n-24) -10453572*a(n-26) +4646032*a(n-27) +6969048*a(n-28) -6568528*a(n-29) -2483224*a(n-30) +5410896*a(n-31) -477071*a(n-32) -2941884*a(n-33) +1290879*a(n-34) +986328*a(n-35) -902500*a(n-36) -107160*a(n-37) +366340*a(n-38) -77000*a(n-39) -86802*a(n-40) +46064*a(n-41) +7506*a(n-42) -11736*a(n-43) +1836*a(n-44) +1336*a(n-45) -588*a(n-46) +8*a(n-47) +47*a(n-48) -12*a(n-49) +a(n-50) for n>73
%e Some solutions for n=1
%e ..0..0..0..0..0..0..0..1....0..0..0..0..0..0..1..2....0..0..0..1..1..3..1..2
%e ..0..0..1..1..3..0..3..1....0..0..3..1..1..1..1..2....0..1..0..1..3..1..3..3
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 26 2014
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