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A250988 Number of (n+1)X(2+1) 0..2 arrays with nondecreasing min(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 #4 Nov 29 2014 14:59:52

%S 169,872,4111,18387,80133,344135,1466191,6219851,26329263,111352239,

%T 470824467,1991012259,8422006891,35637583483,150851830807,

%U 638746833775,2705353300919,11460847050775,48561125420483,205789941962155

%N Number of (n+1)X(2+1) 0..2 arrays with nondecreasing min(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 2 of A250994

%H R. H. Hardin, <a href="/A250988/b250988.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 14*a(n-1) -73*a(n-2) +156*a(n-3) -13*a(n-4) -480*a(n-5) +581*a(n-6) +212*a(n-7) -654*a(n-8) +78*a(n-9) +264*a(n-10) -44*a(n-11) -40*a(n-12)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 29 2014

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Last modified April 24 03:08 EDT 2024. Contains 371918 sequences. (Running on oeis4.)