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 A204404 Number of (n+2)X6 0..2 arrays with every 3X3 subblock having three strictly increasing elements in a row horizontally, vertically or nw-to-se diagonally 1

%I

%S 6579664,45603178,316877238,2085204465,23029550325,415155518470,

%T 3295136296152,32134688161335,493230418931412,4189404132668251,

%U 40156342455697128,568933756622989209,5384912430646789092

%N Number of (n+2)X6 0..2 arrays with every 3X3 subblock having three strictly increasing elements in a row horizontally, vertically or nw-to-se diagonally

%C Column 4 of A204408

%H R. H. Hardin, <a href="/A204404/b204404.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 1459*a(n-3) +2366*a(n-4) +4779*a(n-5) -465750*a(n-6) -1048886*a(n-7) -3634327*a(n-8) -1252269*a(n-9) -12157074*a(n-10) +75962512*a(n-11) +773403474*a(n-12) -25986526911*a(n-13) +211585911372*a(n-14) -107550787476*a(n-15) +21223813833*a(n-16) +2464480594620*a(n-17) +5101752756654*a(n-18) +1912282879041*a(n-19) +15889589414820*a(n-20) -406274781521556*a(n-21) -396377909824842*a(n-22) -755667247671333*a(n-23) -4066604031081888*a(n-24) +4639217404157334*a(n-25) +24848519040123930*a(n-26) +137360498521522419*a(n-27) +27985445767323747*a(n-28) -606522898240754355*a(n-29) -783493902005379597*a(n-30) -544491482167055853*a(n-31) +1819222996472650620*a(n-32) +7082031643400002428*a(n-33) -3289051610700005853*a(n-34) -15271355053237580406*a(n-35) +17895166302779405568*a(n-36) +23766468524508556503*a(n-37) -82775764861128063918*a(n-38) +26582730134686633476*a(n-39) +18110747880545573718*a(n-40) -200977724829576859776*a(n-41) +191176432943565716730*a(n-42) +618195810764880833490*a(n-43) +107649060711895485657*a(n-44) -424990032576048420372*a(n-45) -769294085875543337364*a(n-46) -491590798304858190684*a(n-47) -379667928466099981368*a(n-48) +334386905865886476900*a(n-49) +1086666015165260019084*a(n-50) -420417634478656012812*a(n-51) +181557557295434496504*a(n-52) +2081553559981069049136*a(n-53) -362299205032647178032*a(n-54) -1111869043072107909696*a(n-55) -368956908713611008*a(n-56) -30359882774148562944*a(n-57) -426935851511464166400*a(n-58) for n>65

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 15 2012

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Last modified March 20 07:48 EDT 2023. Contains 361363 sequences. (Running on oeis4.)