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A234416 Number of (n+1)X(3+1) 0..7 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1 1

%I

%S 2848,56768,1131708,22692600,455740110,9162597900,184360780592,

%T 3711992019408,74780929646602,1507252891403182,30392407585661996,

%U 613062461820019164,12370452071355682398,249684257042499386428

%N Number of (n+1)X(3+1) 0..7 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1

%C Column 3 of A234421

%H R. H. Hardin, <a href="/A234416/b234416.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 80*a(n-1) -2535*a(n-2) +39140*a(n-3) -267047*a(n-4) -90703*a(n-5) +11322963*a(n-6) -38431717*a(n-7) -164429032*a(n-8) +964710209*a(n-9) +1210583468*a(n-10) -11527909460*a(n-11) -6226317300*a(n-12) +82270310797*a(n-13) +37494868160*a(n-14) -366266827501*a(n-15) -225932776277*a(n-16) +982892096712*a(n-17) +846778463179*a(n-18) -1461255829780*a(n-19) -1703433866298*a(n-20) +990610939631*a(n-21) +1713904091128*a(n-22) -111364070116*a(n-23) -780603825220*a(n-24) -87686854448*a(n-25) +185011265048*a(n-26) +29266932212*a(n-27) -24972987476*a(n-28) -3056686348*a(n-29) +1944866328*a(n-30) +55993536*a(n-31) -71184960*a(n-32) +5702400*a(n-33)

%e Some solutions for n=2

%e ..4..4..4..5....4..4..4..4....2..2..1..1....2..1..2..2....7..7..6..7

%e ..4..4..5..4....5..5..5..5....1..2..1..2....1..1..1..1....7..6..7..7

%e ..4..5..4..5....4..5..4..5....2..2..2..1....2..2..2..1....6..7..7..7

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 25 2013

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Last modified July 1 20:10 EDT 2022. Contains 354975 sequences. (Running on oeis4.)