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A238049 Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one 1

%I #5 Feb 17 2014 08:28:08

%S 256,1760,12352,87488,618752,4375552,30949952,218919168,1548259072,

%T 10950274048,77458464768,547885305856,3874795835392,27405049921536,

%U 193853940023296,1371182905425920,9697383186169856,68586135474405376

%N Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

%C Column 1 of A238054

%H R. H. Hardin, <a href="/A238049/b238049.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2528*a(n-4) -63488*a(n-8) +315392*a(n-12) +147456*a(n-16) +4194304*a(n-20) for n>21

%e Some solutions for n=4

%e ..1..0....3..0....3..0....2..2....0..2....3..3....2..3....0..2....3..0....1..0

%e ..3..3....2..1....0..1....0..0....0..0....1..1....0..0....2..3....1..3....2..2

%e ..0..2....0..0....3..1....2..1....2..1....0..3....3..1....0..1....1..3....3..3

%e ..3..2....1..1....0..0....0..3....1..0....1..2....1..2....2..0....0..3....1..2

%e ..3..2....1..2....1..2....1..1....3..3....0..2....1..0....3..1....3..2....3..0

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 17 2014

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Last modified August 10 17:16 EDT 2024. Contains 375058 sequences. (Running on oeis4.)