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A250687 Number of (n+1)X(4+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 11150,60508,324648,1670016,8038566,36673634,160222342,676640344,

%T 2784280670,11235235268,44688274606,175922640288,687672281246,

%U 2676084468860,10388862354030,40297745223480,156374569711646

%N Number of (n+1)X(4+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 4 of A250691

%H R. H. Hardin, <a href="/A250687/b250687.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=2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 26 2014

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Last modified September 20 01:41 EDT 2020. Contains 337249 sequences. (Running on oeis4.)