cp's OEIS Frontend

A250803 Number of (6+1)X(n+1) 0..1 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.

%I A250803 #6 Jul 23 2025 12:46:17
%S A250803 816,3646,12706,38676,105954,270598,653880,1517666,3411886,7486456,
%T A250803 16113534,34166562,71587660,148595086,306145338,627018812,1278150458,
%U A250803 2595669838,5255451696,10615144698,21399536646,43073623696,86592277446
%N A250803 Number of (6+1)X(n+1) 0..1 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 A250803 Row 6 of A250797
%H A250803 R. H. Hardin, <a href="/A250803/b250803.txt">Table of n, a(n) for n = 1..210</a>
%F A250803 Empirical: a(n) = 4*a(n-1) -17*a(n-3) +12*a(n-4) +28*a(n-5) -28*a(n-6) -22*a(n-7) +27*a(n-8) +8*a(n-9) -12*a(n-10) -a(n-11) +2*a(n-12)
%e A250803 Some solutions for n=4
%e A250803 ..0..1..0..1..0....1..0..0..0..0....0..0..1..0..1....0..1..0..1..0
%e A250803 ..0..0..1..0..1....1..0..0..0..1....0..1..0..1..0....1..0..1..0..1
%e A250803 ..0..0..1..0..1....1..0..0..0..0....0..1..0..1..0....1..0..1..0..1
%e A250803 ..0..1..0..1..0....1..0..0..0..0....1..0..1..0..1....1..1..0..1..0
%e A250803 ..0..1..0..0..1....1..0..0..0..1....0..1..0..1..0....1..1..0..0..1
%e A250803 ..0..1..0..0..1....1..0..0..1..0....1..0..1..0..1....1..1..0..1..0
%e A250803 ..0..1..1..1..0....0..1..1..0..1....1..1..0..1..0....1..1..0..1..0
%K A250803 nonn
%O A250803 1,1
%A A250803 _R. H. Hardin_, Nov 27 2014