A184452 1/36 the number of (n+2)X6 0..2 arrays with each 3X3 subblock containing two of one value, two of another, and five of the last

3159, 4517, 6880, 11766, 28668, 80058, 253176, 1011114, 4109928, 16573530, 76394256, 343071594, 1473267984, 7095859362, 32986799520, 145080603426, 712092090408, 3363516907218, 14962452326376, 74120256227754

Offset

1,1

Comments

Column 4 of A184457

Links

R. H. Hardin, Table of n, a(n) for n = 1..66

Formula

Empirical: a(n)=6*a(n-1)-11*a(n-2)+195*a(n-3)-1134*a(n-4)+2079*a(n-5)-11600*a(n-6)+62796*a(n-7)-115126*a(n-8)+263520*a(n-9)-1204344*a(n-10)+2207964*a(n-11)-2907648*a(n-12)+10219824*a(n-13)-18736344*a(n-14)+17243280*a(n-15)-42140736*a(n-16)+77258016*a(n-17)-55857600*a(n-18)+82301184*a(n-19)-150885504*a(n-20)+92378880*a(n-21)-60466176*a(n-22)+110854656*a(n-23)-60466176*a(n-24)

Example

Some solutions with a(1,1)=0 for 4X6
..0..2..1..0..2..1....0..0..2..0..1..2....0..0..2..1..2..1....0..0..2..0..2..1
..1..0..2..1..0..0....0..2..0..1..0..0....0..2..1..0..0..2....1..2..1..0..0..2
..0..0..0..0..0..2....1..1..0..0..2..0....1..0..0..0..0..0....0..0..0..1..0..0
..0..1..2..0..1..2....2..0..0..2..1..0....0..0..2..1..2..1....0..0..2..0..2..1

Crossrefs

Sequence in context: A276686 A252215 A250760 * A151750 A031610 A252636

Adjacent sequences: A184449 A184450 A184451 * A184453 A184454 A184455

Keyword

nonn

Author

R. H. Hardin Jan 14 2011

Status

approved