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A238040 Number of (n+1)X(2+1) 0..2 arrays with the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one 1

%I #4 Feb 17 2014 08:00:55

%S 340,1944,10812,61668,352180,1999804,11359816,64650988,367695852,

%T 2090439976,11887700660,67607537176,384454848916,2186228909392,

%U 12432532688900,70700318548692,402048993757740,2286326651710856

%N Number of (n+1)X(2+1) 0..2 arrays with the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

%C Column 2 of A238046

%H R. H. Hardin, <a href="/A238040/b238040.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-2) +64*a(n-3) +307*a(n-4) +593*a(n-5) +1251*a(n-6) +1168*a(n-7) -388*a(n-8) -1956*a(n-9) -4912*a(n-10) -2576*a(n-11) +1664*a(n-12) +768*a(n-13)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 17 2014

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Last modified April 23 15:20 EDT 2024. Contains 371916 sequences. (Running on oeis4.)