A185885 1/729 the number of (n+2)X5 0..2 arrays with no 3X3 subblock trace equal to any horizontal or vertical neighbor 3X3 subblock trace

12900, 1367896, 151319356, 16772497838, 1859643383374, 206151739863904, 22854468047098854, 2533647121080969994, 280882181462478015200, 31138753786468637428504, 3452062188257926529151098

Offset

1,1

Comments

Column 3 of A185891

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n)=40*a(n-1)+7164*a(n-2)+112335*a(n-3)-3584028*a(n-4)-50062538*a(n-5)+970071476*a(n-6)+6150837894*a(n-7)-137544686616*a(n-8)-48243452495*a(n-9)+8530613267003*a(n-10)-24369924093195*a(n-11)-197404068595460*a(n-12)+944451560990200*a(n-13)+1899528585483639*a(n-14)-15005554845702107*a(n-15)-3968423421424559*a(n-16)+121403245202835557*a(n-17)-56657767039313334*a(n-18)-492245433317206206*a(n-19)+286401714645530402*a(n-20)+892905431884788644*a(n-21)+830578066273737606*a(n-22)-686176994101962571*a(n-23)-11383810923934888717*a(n-24)+420513778707039531*a(n-25)+43123135533983336411*a(n-26)+15270235256279720093*a(n-27)-57177512572590100711*a(n-28)-74038960431659153372*a(n-29)-88180481903773746569*a(n-30)+39018050324171762588*a(n-31)+338715481187544142180*a(n-32)+283275280463041863791*a(n-33)-231526795498247390899*a(n-34)-473134911610873885738*a(n-35)-102042121829104808194*a(n-36)+298214107648180263884*a(n-37)+289322272425177808507*a(n-38)+105439612295873047876*a(n-39)-27393769931832847021*a(n-40)-98391634314558498972*a(n-41)-100273870951703370668*a(n-42)-65472002660238574272*a(n-43)-34403796167231474688*a(n-44)-8153510797651471200*a(n-45)+9133629740214543936*a(n-46)+9826077717529830144*a(n-47)+3238725017567757312*a(n-48)-239531085224898048*a(n-49)-472769339294499840*a(n-50)-127957560239001600*a(n-51)-11754624614400000*a(n-52) for n>53

Example

Some solutions for 4X5
..0..0..0..1..0....0..0..1..1..0....0..0..2..2..2....0..0..1..1..2
..0..0..2..2..2....0..0..1..0..0....0..0..2..2..2....0..0..2..0..1
..0..0..1..1..0....0..0..2..2..0....0..0..1..0..1....0..0..1..2..1
..0..0..2..0..2....0..0..0..0..1....0..0..2..2..2....0..0..0..2..2

Crossrefs

Sequence in context: A233936 A360836 A158918 * A212079 A162895 A256746

Adjacent sequences: A185882 A185883 A185884 * A185886 A185887 A185888

Keyword

nonn

Author

R. H. Hardin Feb 05 2011

Status

approved