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A236517 Number of (n+1)X(2+1) 0..1 arrays with the difference of the upper median and minimum value of each 2X2 subblock in lexicographically nondecreasing order columnwise and nonincreasing rowwise 1

%I #4 Jan 27 2014 17:42:55

%S 52,264,1256,5670,25023,108214,462970,1962897,8278491,34768983,

%T 145652451,608974557,2542990472,10609555831,44237987228,184378860260,

%U 768258530698,3200511193171,13331394907045,55525565937033,231251505598612

%N Number of (n+1)X(2+1) 0..1 arrays with the difference of the upper median and minimum value of each 2X2 subblock in lexicographically nondecreasing order columnwise and nonincreasing rowwise

%C Column 2 of A236523

%H R. H. Hardin, <a href="/A236517/b236517.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -8*a(n-2) -75*a(n-3) +168*a(n-4) +171*a(n-5) -664*a(n-6) +28*a(n-7) +1000*a(n-8) -411*a(n-9) -606*a(n-10) +337*a(n-11) +151*a(n-12) -94*a(n-13) -12*a(n-14) +8*a(n-15)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 27 2014

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Last modified April 25 08:20 EDT 2024. Contains 371964 sequences. (Running on oeis4.)