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A233879 Number of (n+1)X(4+1) 0..2 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11 1

%I #4 Dec 17 2013 07:08:21

%S 760,5156,33656,251532,1768660,14111768,103547288,858513368,

%T 6440961128,54554580804,413974622656,3548715192184,27091433272416,

%U 233867231401352,1791402389131776,15529726061076424,119191486778549872

%N Number of (n+1)X(4+1) 0..2 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11

%C Column 4 of A233883

%H R. H. Hardin, <a href="/A233879/b233879.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) +111*a(n-2) -1347*a(n-3) -2952*a(n-4) +61962*a(n-5) -23589*a(n-6) -1303743*a(n-7) +2061738*a(n-8) +13676265*a(n-9) -32627870*a(n-10) -74205472*a(n-11) +248050297*a(n-12) +184715702*a(n-13) -1058894761*a(n-14) +18879451*a(n-15) +2642739884*a(n-16) -1291495298*a(n-17) -3771977707*a(n-18) +3244720225*a(n-19) +2774675096*a(n-20) -3693043205*a(n-21) -677649206*a(n-22) +2114258648*a(n-23) -285661000*a(n-24) -570117698*a(n-25) +190279800*a(n-26) +48545460*a(n-27) -28512000*a(n-28) +2851200*a(n-29)

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 17 2013

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Last modified April 23 18:16 EDT 2024. Contains 371916 sequences. (Running on oeis4.)