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 A186529 Number of (n+1)X3 0..2 arrays with no 2X2 subblock determinant equal to any horizontal or vertical neighbor 2X2 subblock determinant 1

%I #5 Mar 31 2012 12:36:05

%S 554,8410,129762,2004390,30642746,471337960,7226974262,110986523654,

%T 1703101107186,26144648320684,401271955015010,6159395351074580,

%U 94540020500580742,1451122739668770300,22273433712128823034

%N Number of (n+1)X3 0..2 arrays with no 2X2 subblock determinant equal to any horizontal or vertical neighbor 2X2 subblock determinant

%C Column 2 of A186536

%H R. H. Hardin, <a href="/A186529/b186529.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=137*a(n-2)+1126*a(n-3)+5433*a(n-4)+10720*a(n-5)-19544*a(n-6)-283802*a(n-7)-1213498*a(n-8)-1905568*a(n-9)+160912*a(n-10)+14422858*a(n-11)+57107569*a(n-12)+111633412*a(n-13)+140265205*a(n-14)-227579362*a(n-15)-1266474895*a(n-16)-3218779006*a(n-17)-4360672292*a(n-18)-85642990*a(n-19)+12451981714*a(n-20)+54018330784*a(n-21)+54120821024*a(n-22)+48352999862*a(n-23)-54239122980*a(n-24)-521711802696*a(n-25)-133604155551*a(n-26)-1146745676780*a(n-27)+1533527304725*a(n-28)+4063883108*a(n-29)+4183891798154*a(n-30)+162468788468*a(n-31)+415090644843*a(n-32)-5333715774474*a(n-33)-5900413316081*a(n-34)-4483427003328*a(n-35)+2056218720211*a(n-36)+8885843662130*a(n-37)+7910045679114*a(n-38)+6787653970328*a(n-39)-7914446877995*a(n-40)-3504915258578*a(n-41)-11873781400792*a(n-42)+5885658897028*a(n-43)+5231788277084*a(n-44)-2441603322434*a(n-45)+4557505180961*a(n-46)-6667039995856*a(n-47)+245425680327*a(n-48)+2862754475532*a(n-49)-1130342645704*a(n-50)+2519595652336*a(n-51)-2375859974604*a(n-52)-777638759578*a(n-53)+1627746406121*a(n-54)-806010143776*a(n-55)+397599113090*a(n-56)-119555202624*a(n-57)-83773561118*a(n-58)+45262668218*a(n-59)+11188883925*a(n-60)+4939945416*a(n-61)-5861076859*a(n-62)+1554134096*a(n-63)-988061751*a(n-64)-21206952*a(n-65)-27911321*a(n-66)-5439150*a(n-67)+220457*a(n-68) for n>72

%e Some solutions for 5X3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 23 2011

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Last modified April 20 17:12 EDT 2024. Contains 371845 sequences. (Running on oeis4.)