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%I #5 Mar 31 2012 12:37:05
%S 486,4158,36478,323806,2873148,25443411,225349124,1996606633,
%T 17681948366,156641245984,1387300479906,12289075854961,
%U 108845097936910,964139798847513,8539702188030050,75642295014975612,669998300863075442
%N Number of (n+1)X3 0..2 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock differing from the number in each of its horizontal and vertical neighbors
%C Column 2 of A205246
%H R. H. Hardin, <a href="/A205240/b205240.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 83*a(n-2) +62*a(n-3) -1400*a(n-4) +3028*a(n-5) +15566*a(n-6) -34554*a(n-7) -2930*a(n-8) +172624*a(n-9) +528797*a(n-10) +311184*a(n-11) -2492001*a(n-12) +7439706*a(n-13) +23055160*a(n-14) -17484796*a(n-15) +132409176*a(n-16) -12095322*a(n-17) -302244095*a(n-18) +1672553778*a(n-19) -2384055136*a(n-20) +2362513656*a(n-21) +11058721557*a(n-22) -6140743480*a(n-23) -11862588187*a(n-24) -140351381320*a(n-25) +292423106426*a(n-26) -331440941882*a(n-27) +1143432565197*a(n-28) -1433343509044*a(n-29) +1111337977973*a(n-30) -2097893056546*a(n-31) -1845990127555*a(n-32) +2494742091210*a(n-33) -6613860088532*a(n-34) +12798673882044*a(n-35) -21677389888283*a(n-36) +27817688392656*a(n-37) -45236419184081*a(n-38) +61060473751326*a(n-39) -60450141639301*a(n-40) +103318888641656*a(n-41) -79384721238623*a(n-42) +72193103748248*a(n-43) -62683852343270*a(n-44) +3241028613484*a(n-45) +22465995646013*a(n-46) -75000526328272*a(n-47) +95047402229175*a(n-48) -89667752966740*a(n-49) +93104505619327*a(n-50) -61833805720438*a(n-51) -4148304046392*a(n-52) +34888223414702*a(n-53) -20067567523092*a(n-54) +5612894804612*a(n-55) -5467227940352*a(n-56) -2601758237634*a(n-57) +6380787375141*a(n-58) -556702728328*a(n-59) -1488751940148*a(n-60) -107418263898*a(n-61) +145728484577*a(n-62) +91970842662*a(n-63) -952941688*a(n-64) +1999651744*a(n-65) -2869374919*a(n-66) -426785202*a(n-67) +188074797*a(n-68) -30872712*a(n-69) +3608749*a(n-70) -62574*a(n-71) +62806*a(n-72) +6638*a(n-73) -216*a(n-74) for n>77
%e Some solutions for n=4
%e ..0..0..2....0..1..2....2..1..1....2..2..0....2..0..1....2..1..0....1..0..0
%e ..2..0..1....2..0..0....2..2..2....1..0..1....2..0..1....2..1..1....2..0..0
%e ..1..0..2....1..1..2....0..0..1....0..2..2....0..1..2....2..2..2....0..0..1
%e ..1..1..0....0..0..1....1..1..2....1..2..0....1..2..2....2..0..1....1..0..2
%e ..1..2..0....2..2..2....2..1..2....0..2..1....0..0..0....0..1..2....1..0..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 24 2012
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