A225021 Number of (n+1)X3 0..2 matrices with each 2X2 permanent equal

253, 1935, 12641, 113261, 979821, 9045373, 82894903, 768456167, 7112825923, 65968698193, 611639117173, 5672921683137, 52612656431953, 487979068798433, 4525916701502467, 41977528928082105, 389337361830188511

Offset

1,1

Comments

Column 2 of A225027

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 18*a(n-1) -50*a(n-2) -745*a(n-3) +4314*a(n-4) +9186*a(n-5) -105283*a(n-6) +25054*a(n-7) +1280251*a(n-8) -1742965*a(n-9) -8687898*a(n-10) +19526759*a(n-11) +32128538*a(n-12) -112791204*a(n-13) -46192053*a(n-14) +383508114*a(n-15) -96539514*a(n-16) -782622789*a(n-17) +556582824*a(n-18) +907171190*a(n-19) -1065928104*a(n-20) -465301022*a(n-21) +1019495948*a(n-22) -75774692*a(n-23) -460095348*a(n-24) +170353464*a(n-25) +64111672*a(n-26) -41996720*a(n-27) +2265472*a(n-28) +1450752*a(n-29) -135168*a(n-30)

Example

Some solutions for n=2
..1..0..0....2..1..1....2..0..1....2..2..2....0..0..0....0..0..2....2..0..2
..1..0..2....2..0..2....2..0..0....1..0..1....0..0..2....0..0..1....1..0..1
..0..0..1....2..1..0....0..0..2....0..2..2....1..0..0....2..0..1....1..0..1

Crossrefs

Sequence in context: A054737 A123013 A183449 * A242463 A271985 A255182

Adjacent sequences: A225018 A225019 A225020 * A225022 A225023 A225024

Keyword

nonn

Author

R. H. Hardin Apr 24 2013

Status

approved