A233787 - OEIS

%I #4 Dec 15 2013 20:46:43

%S 720,3932,20816,125976,716768,4674280,27765752,190316292,1159969064,

%T 8197609072,50708447672,364761775656,2275008360504,16527758316992,

%U 103549619966920,756382898620552,4750510374920744,34803101628502320

%N Number of (n+1)X(3+1) 0..3 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11

%C Column 3 of A233792

%H R. H. Hardin, <a href="/A233787/b233787.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 139*a(n-2) -7929*a(n-4) +248319*a(n-6) -4798442*a(n-8) +60800038*a(n-10) -523147257*a(n-12) +3118918441*a(n-14) -13016374051*a(n-16) +38139962547*a(n-18) -78218266028*a(n-20) +111158046394*a(n-22) -107387771932*a(n-24) +68279402362*a(n-26) -27119287096*a(n-28) +6185757504*a(n-30) -702040320*a(n-32) +29030400*a(n-34)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 15 2013