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A236782 Number of (n+1)X(1+1) 0..2 arrays with the upper median plus the lower median minus the minimum of every 2X2 subblock equal 1

%I #4 Jan 31 2014 05:48:14

%S 81,255,770,2475,7967,26320,87685,296341,1009386,3469327,11995679,

%T 41723704,145746621,511140805,1798008490,6341897735,22416736479,

%U 79385995448,281564936853,999990174053,3555463819754,12653797570015

%N Number of (n+1)X(1+1) 0..2 arrays with the upper median plus the lower median minus the minimum of every 2X2 subblock equal

%C Column 1 of A236789

%H R. H. Hardin, <a href="/A236782/b236782.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) -201*a(n-3) +319*a(n-4) +1872*a(n-5) -4022*a(n-6) -9892*a(n-7) +22860*a(n-8) +34480*a(n-9) -71032*a(n-10) -84736*a(n-11) +121824*a(n-12) +140864*a(n-13) -100416*a(n-14) -135936*a(n-15) +17408*a(n-16) +54784*a(n-17) +14336*a(n-18)

%e Some solutions for n=5

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 31 2014

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Last modified May 8 00:02 EDT 2024. Contains 372317 sequences. (Running on oeis4.)