A184451 1/36 the number of (n+2)X5 0..2 arrays with each 3X3 subblock containing two of one value, two of another, and five of the last

864, 1591, 3125, 6880, 20706, 67180, 232326, 967138, 4023354, 16410550, 76004286, 342234442, 1471593474, 7091681506, 32977550190, 145061691070, 712044245886, 3363409747810, 14962231319346, 74119694182018, 352903456485534

Offset

1,1

Comments

Column 3 of A184457

Links

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

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 4X5
..0..0..1..0..2....0..0..0..0..1....0..2..1..0..2....0..2..0..1..1
..0..2..2..0..1....2..1..2..0..0....1..1..1..1..1....1..0..0..0..2
..0..1..0..0..0....0..1..0..2..1....1..2..0..1..2....2..1..0..2..0
..0..0..1..0..2....0..0..0..0..1....1..0..2..1..0....0..2..0..1..1

Crossrefs

Sequence in context: A252298 A252305 A252306 * A203662 A179671 A297914

Adjacent sequences: A184448 A184449 A184450 * A184452 A184453 A184454

Keyword

nonn

Author

R. H. Hardin Jan 14 2011

Status

approved