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A250688 Number of (n+1)X(5+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction 1

%I

%S 47002,249512,1315446,6671458,31728758,143136866,617657415,2571646112,

%T 10412478449,41269021168,160968910027,620573782940,2373117015149,

%U 9027885707796,34248252841075,129817387985168,492449247898701

%N Number of (n+1)X(5+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction

%C Column 5 of A250691

%H R. H. Hardin, <a href="/A250688/b250688.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 27*a(n-1) -331*a(n-2) +2439*a(n-3) -12049*a(n-4) +42129*a(n-5) -107225*a(n-6) +201069*a(n-7) -277706*a(n-8) +278928*a(n-9) -197984*a(n-10) +94032*a(n-11) -26784*a(n-12) +3456*a(n-13) for n>17

%e Some solutions for n=1

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 26 2014

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Last modified January 22 19:45 EST 2022. Contains 350504 sequences. (Running on oeis4.)