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A236996 Number of (n+1)X(7+1) 0..2 arrays with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one 1

%I #4 Feb 02 2014 07:19:00

%S 640000,30233088,1406076928,80675315712,4279521280000,219711187058688,

%T 11244238474313728,700611776439386112,40435085627883520000,

%U 2290196951375479308288,131119070760867387670528

%N Number of (n+1)X(7+1) 0..2 arrays with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

%C Column 7 of A236997

%H R. H. Hardin, <a href="/A236996/b236996.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 140*a(n-1) -6176*a(n-2) +87040*a(n-3) +21476352*a(n-4) -3006689280*a(n-5) +132637949952*a(n-6) -1869301678080*a(n-7) -149335861886976*a(n-8) +20907020664176640*a(n-9) -922298283013963776*a(n-10) +12998193418642391040*a(n-11) +331760110214840320000*a(n-12) -46446415430077644800000*a(n-13) +2048950440686853816320000*a(n-14) -28876399993099701452800000*a(n-15)

%e Some solutions for n=1

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 02 2014

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Last modified August 25 15:17 EDT 2024. Contains 375439 sequences. (Running on oeis4.)