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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 1

%I #4 Nov 27 2014 16:15:36

%S 816,3646,12706,38676,105954,270598,653880,1517666,3411886,7486456,

%T 16113534,34166562,71587660,148595086,306145338,627018812,1278150458,

%U 2595669838,5255451696,10615144698,21399536646,43073623696,86592277446

%N 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 Row 6 of A250797

%H R. H. Hardin, <a href="/A250803/b250803.txt">Table of n, a(n) for n = 1..210</a>

%F 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 Some solutions for n=4

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 27 2014

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Last modified March 28 14:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)