A205212 - OEIS

%I #5 Mar 31 2012 12:37:05

%S 33386,1846145,82656765,4357148705,209120030041,10699762239543,

%T 529074884034056,26696996142924073,1332373153542414329,

%U 66910290862989970207,3348804204076404857565,167921652796188861033635

%N Number of (n+1)X6 0..2 arrays with the determinants of 2X2 subblocks nondecreasing rightwards and downwards

%C Column 5 of A205215

%H R. H. Hardin, <a href="/A205212/b205212.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 193*a(n-1) -14510*a(n-2) +463696*a(n-3) +1154463*a(n-4) -573193775*a(n-5) +16838090686*a(n-6) -68048611740*a(n-7) -7076227737907*a(n-8) +166076827724203*a(n-9) -497562032123282*a(n-10) -37990131650089912*a(n-11) +633538765875286477*a(n-12) -529601782446367885*a(n-13) -96946738026985668638*a(n-14) +1068274762530486586820*a(n-15) +1331065176407397974856*a(n-16) -118794915243045424926384*a(n-17) +836170925472011234460832*a(n-18) +2560442198450185413653568*a(n-19) -70294665877262382497504640*a(n-20) +306471931781965129011507968*a(n-21) +1475016894081655610935139840*a(n-22) -20326045833941150370006529024*a(n-23) +52245028187869996166520608768*a(n-24) +355697699148591529342082871296*a(n-25) -2894667220770071358697274613760*a(n-26) +4101641063144110695824594878464*a(n-27) +38518472901390730588464595763200*a(n-28) -203838247112364065242231893262336*a(n-29) +158143587502004390680818903154688*a(n-30) +1865576499718886388171319696949248*a(n-31) -7037057603271489995667722326769664*a(n-32) +4055415517482649910381400136089600*a(n-33) +37659573528229516916636472395694080*a(n-34) -113056619173170826553358498157035520*a(n-35) +78263326044333507162520695078912000*a(n-36) +258867889268798181268090062171537408*a(n-37) -729544367046613390826573514399547392*a(n-38) +713431402081809822019388547463643136*a(n-39) +35027995714688156792388550272221184*a(n-40) -779917392885211287968806335909199872*a(n-41) +768267528508428567698175372319260672*a(n-42) -291343072930876554520223498838736896*a(n-43) +6497034649505554458310932342767616*a(n-44) +16968347707859518980980242095538176*a(n-45) for n>52

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 23 2012