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Number of (n+1)X(2+1) 0..3 arrays colored with the sum of the maximum and minimum values of each 2X2 subblock
1

%I #4 Jan 27 2014 04:49:56

%S 2228,30916,404844,5217808,67922876,889064156,11593920636,

%T 150933818096,1967718157060,25666289129712,334603096750484,

%U 4361467934769740,56861946338785396,741358063588817148,9665019767331628236

%N Number of (n+1)X(2+1) 0..3 arrays colored with the sum of the maximum and minimum values of each 2X2 subblock

%C Column 2 of A236500

%H R. H. Hardin, <a href="/A236496/b236496.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 62*a(n-2) +725*a(n-3) +7415*a(n-4) +25938*a(n-5) -43654*a(n-6) -497122*a(n-7) -870235*a(n-8) +1383538*a(n-9) +6711678*a(n-10) +7323747*a(n-11) -4082728*a(n-12) -31886496*a(n-13) -47300006*a(n-14) -12535262*a(n-15) +22727505*a(n-16) +103868945*a(n-17) +241224605*a(n-18) -129769422*a(n-19) -357137862*a(n-20) +318197576*a(n-21) +757875482*a(n-22) +1291333264*a(n-23) +422581272*a(n-24) -2833137215*a(n-25) -4398569896*a(n-26) -2785178278*a(n-27) +32869089*a(n-28) +2214404517*a(n-29) +1044738288*a(n-30) -2794241155*a(n-31) -5865396108*a(n-32) -5446738798*a(n-33) -2850201776*a(n-34) -687819008*a(n-35) -18405064*a(n-36) -19215173*a(n-37) -16345608*a(n-38) +621997*a(n-39) +1385329*a(n-40) -452750*a(n-41) +65418*a(n-42) -2720*a(n-43) for n>46

%e Some solutions for n=2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 27 2014