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 A250582 Number of (n+1)X(7+1) 0..1 arrays with nondecreasing max(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction 1

%I #4 Nov 25 2014 11:18:56

%S 1428,4009,9346,20510,44104,94623,203560,441215,963419,2122436,

%T 4711190,10539254,23725417,53732313,122262118,279395064,640562123,

%U 1472887183,3394038277,7835913688,18116152652,41934181304,97151672669,225248699646

%N Number of (n+1)X(7+1) 0..1 arrays with nondecreasing max(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction

%C Column 7 of A250583

%H R. H. Hardin, <a href="/A250582/b250582.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -20*a(n-2) -5*a(n-3) +113*a(n-4) -184*a(n-5) -13*a(n-6) +366*a(n-7) -407*a(n-8) +49*a(n-9) +244*a(n-10) -210*a(n-11) +59*a(n-12) +7*a(n-13) -7*a(n-14) +a(n-15) for n>19

%e Some solutions for n=6

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 25 2014

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Last modified September 13 17:02 EDT 2024. Contains 375910 sequences. (Running on oeis4.)