A183705 Number of (n+1)X5 0..3 arrays with every 2X2 subblock nonsingular

409128, 208772880, 106093597920, 53961750797424, 27440831422595136, 13954952466340976784, 7096672408605671392416, 3608961753073209868200240, 1835310417510901571397984768, 933333481699094358785391223248

Offset

1,1

Comments

Column 4 of A183710

Links

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

Formula

Empirical: a(n)=280*a(n-1)+112580*a(n-2)+3492162*a(n-3)-819288385*a(n-4)-12793008650*a(n-5)+2892208505752*a(n-6)-40764002087564*a(n-7)-3347388386802251*a(n-8)+143992036050120492*a(n-9)-2105303984131021756*a(n-10)+4800567008428590850*a(n-11)+182742851553762560045*a(n-12)-1364110029736402568010*a(n-13)-5200934207479738964528*a(n-14)+61142874543395383890792*a(n-15)+100553502890870219473632*a(n-16)-1032217400773371826650672*a(n-17)-2029259347165494259181424*a(n-18)+2743207961236529270609952*a(n-19)+5097128258414084374606464*a(n-20)-1701928181673046183177728*a(n-21)-410351258133601815379968*a(n-22)

Example

Some solutions for 3X5
..0..2..0..2..1....0..2..0..2..0....0..2..0..2..3....0..2..0..2..3
..2..0..3..0..1....2..0..2..1..1....2..0..3..1..3....2..0..3..1..1
..3..2..1..3..1....2..3..2..3..2....1..1..1..3..1....3..2..3..0..1

Crossrefs

Sequence in context: A220988 A357909 A295445 * A233995 A182116 A249405

Adjacent sequences: A183702 A183703 A183704 * A183706 A183707 A183708

Keyword

nonn

Author

R. H. Hardin Jan 06 2011

Status

approved