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A251001 Number of (7+1) X (n+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 #6 May 12 2023 15:06:09

%S 120930,1466191,12238954,86049801,514669302,2783159034,13747683580,

%T 63554260453,277317915194,1155900937722,4631141670183,17956854002984,

%U 67682466852143,249041501212468,897394745093593,3175730998873574

%N Number of (7+1) X (n+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 Row 7 of A250994.

%H R. H. Hardin, <a href="/A251001/b251001.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A251001/a251001.txt">Empirical recurrence of order 67</a>

%F Empirical recurrence of order 67 (see link above).

%e Some solutions for n=1

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

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

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

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

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

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

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

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

%Y Cf. A250994.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 29 2014

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Last modified April 24 04:02 EDT 2024. Contains 371918 sequences. (Running on oeis4.)