A184022 1/8 the number of (n+1)X3 0..3 arrays with all 2X2 subblock sums the same

88, 204, 491, 1347, 3781, 11541, 35771, 117321, 389053, 1343649, 4678331, 16789497, 60610141, 223849641, 830159051, 3132039921, 11849473693, 45412071969, 174350721371, 675875378697, 2623000758301, 10253216100441, 40107029625131

Offset

1,1

Comments

Column 2 of A184029

Links

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

Formula

Empirical: a(n)=8*a(n-1)+16*a(n-2)-268*a(n-3)+189*a(n-4)+3388*a(n-5)-5824*a(n-6)-20048*a(n-7)+49756*a(n-8)+52752*a(n-9)-196896*a(n-10)-24192*a(n-11)+369216*a(n-12)-131328*a(n-13)-262656*a(n-14)+165888*a(n-15)

Example

Some solutions for 4X3
..1..1..3....2..3..2....2..3..2....0..2..1....1..3..1....0..2..0....0..3..0
..2..3..0....2..0..2....3..2..3....1..2..0....1..1..1....0..3..0....3..2..3
..1..1..3....2..3..2....2..3..2....2..0..3....3..1..3....2..0..2....2..1..2
..2..3..0....2..0..2....3..2..3....3..0..2....2..0..2....3..0..3....3..2..3

Crossrefs

Sequence in context: A044801 A342451 A062036 * A116448 A046330 A304519

Adjacent sequences: A184019 A184020 A184021 * A184023 A184024 A184025

Keyword

nonn

Author

R. H. Hardin Jan 08 2011

Status

approved