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%I #4 Dec 21 2013 09:27:07
%S 1248,7348,40384,257116,1493960,10151836,61124816,436731604,
%T 2691478528,19921334892,124589784024,943832420732,5956411209864,
%U 45787739783180,290541956700232,2253568406359316,14346530351364936,111883000131558748
%N Number of (n+1)X(3+1) 0..4 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 A234217
%H R. H. Hardin, <a href="/A234212/b234212.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 223*a(n-2) -22136*a(n-4) +1303842*a(n-6) -51198565*a(n-8) +1426660738*a(n-10) -29308622249*a(n-12) +455180602960*a(n-14) -5436994724661*a(n-16) +50553279723332*a(n-18) -368988227986457*a(n-20) +2126351180635715*a(n-22) -9709003146923883*a(n-24) +35189269788128342*a(n-26) -101259728165773203*a(n-28) +231060390001397360*a(n-30) -417017561764832798*a(n-32) +592925182387254959*a(n-34) -660503855304387479*a(n-36) +572258984227035715*a(n-38) -381879096938313788*a(n-40) +193753758860748742*a(n-42) -73452183198353516*a(n-44) +20317503519116744*a(n-46) -3966504433028624*a(n-48) +520682605459552*a(n-50) -42615909301440*a(n-52) +1905181236480*a(n-54) -34505662464*a(n-56)
%e Some solutions for n=3
%e ..3..2..2..2....3..2..3..2....3..2..3..2....4..3..2..3....1..3..3..2
%e ..1..3..4..3....1..1..1..1....4..4..4..2....4..2..4..2....1..2..1..3
%e ..1..2..4..2....3..2..3..2....3..2..3..2....3..4..3..4....3..3..1..2
%e ..1..3..4..3....1..3..1..1....1..1..1..3....4..2..4..2....1..2..3..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 21 2013
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