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A250708 Number of (1+1)X(n+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 1

%I #4 Nov 26 2014 22:10:27

%S 100,654,3674,19876,102963,521684,2597784,12791393,62471749,303365393,

%T 1467083010,7073825450,34034432454,163494484120,784498580843,

%U 3761138943767,18021126036602,86307928183894,413216314086236

%N Number of (1+1)X(n+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 Row 1 of A250707

%H R. H. Hardin, <a href="/A250708/b250708.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) -25*a(n-2) -30*a(n-3) +166*a(n-4) -43*a(n-5) -343*a(n-6) +230*a(n-7) +301*a(n-8) -287*a(n-9) -110*a(n-10) +159*a(n-11) +5*a(n-12) -41*a(n-13) +6*a(n-14) +4*a(n-15) -a(n-16)

%e Some solutions for n=4

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 26 2014

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Last modified April 19 04:35 EDT 2024. Contains 371782 sequences. (Running on oeis4.)