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A233711 Number of (n+1)X(2+1) 0..4 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 14 1

%I #4 Dec 15 2013 05:39:03

%S 444,2624,16004,103152,662008,4295540,27795204,180350552,1168954616,

%T 7582779720,49168291852,318905004000,2068080647336,13412883513792,

%U 86985009407852,564144460317336,3658633254225680,23727980069413580

%N Number of (n+1)X(2+1) 0..4 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 14

%C Column 2 of A233717

%H R. H. Hardin, <a href="/A233711/b233711.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) +56*a(n-2) -565*a(n-3) -766*a(n-4) +15139*a(n-5) -7664*a(n-6) -200684*a(n-7) +302993*a(n-8) +1413766*a(n-9) -3297757*a(n-10) -5115754*a(n-11) +18205660*a(n-12) +6468818*a(n-13) -56612688*a(n-14) +15267568*a(n-15) +100195210*a(n-16) -68399612*a(n-17) -95039845*a(n-18) +102899681*a(n-19) +36863396*a(n-20) -73128319*a(n-21) +5984214*a(n-22) +22126722*a(n-23) -7453432*a(n-24) -1251600*a(n-25) +860624*a(n-26) -95168*a(n-27)

%e Some solutions for n=4

%e ..3..3..3....1..3..3....2..4..3....4..1..4....0..2..2....0..3..4....3..4..4

%e ..2..0..2....0..0..1....1..1..3....4..3..4....0..3..0....1..3..1....3..1..3

%e ..3..3..3....1..3..1....3..0..0....1..1..4....1..1..1....1..0..0....4..4..3

%e ..1..0..2....0..3..4....1..1..3....0..3..3....0..3..0....3..3..1....2..1..3

%e ..3..3..3....1..1..1....3..4..4....0..1..0....2..2..2....1..0..1....2..4..3

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 15 2013

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)