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Number of (n+1)X(7+1) 0..2 arrays with the maximum plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
1

%I #4 Feb 05 2014 05:53:45

%S 100008,401520,926086,1919288,5299502,13078228,42143930,92484308,

%T 270710424,638608676,1940008986,4500620876,13454873260,31731133484,

%U 95618929690,223781988876,667596360496,1582932137332,4750121115990

%N Number of (n+1)X(7+1) 0..2 arrays with the maximum plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

%C Column 7 of A237234

%H R. H. Hardin, <a href="/A237233/b237233.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-2) +26*a(n-4) -26*a(n-6) -27*a(n-8) -1747*a(n-10) -272*a(n-12) -37717*a(n-14) -62475*a(n-16) +342630*a(n-18) +839939*a(n-20) +4400241*a(n-22) +2441946*a(n-24) -9127258*a(n-26) -22859130*a(n-28) -161997232*a(n-30) -301797384*a(n-32) -438054576*a(n-34) +1413159680*a(n-36) +3841915520*a(n-38) -400228160*a(n-40) -851565568*a(n-42) -1236199808*a(n-44) -2446382592*a(n-46) +1411232256*a(n-48) +27648000*a(n-50) +944087040*a(n-52) +199065600*a(n-54) -1658880000*a(n-56) for n>63

%e Some solutions for n=1

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 05 2014