A184024 1/8 the number of (n+1)X5 0..3 arrays with all 2X2 subblock sums the same

748, 1347, 2597, 5802, 13603, 35256, 94469, 271176, 798403, 2473212, 7822157, 25745712, 86242603, 298311996, 1046975909, 3769450656, 13725480883, 50967923052, 190813253117, 724853725872, 2768753841403, 10688113731036

Offset

1,1

Comments

Column 4 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 4X5
..3..0..2..2..1....3..2..2..2..3....3..2..1..3..3....1..1..2..2..1
..0..3..1..1..2....0..1..1..1..0....0..2..2..1..0....1..3..0..2..1
..3..0..2..2..1....3..2..2..2..3....3..2..1..3..3....1..1..2..2..1
..0..3..1..1..2....1..0..2..0..1....1..1..3..0..1....3..1..2..0..3

Crossrefs

Sequence in context: A252453 A252946 A242150 * A378538 A376879 A378656

Adjacent sequences: A184021 A184022 A184023 * A184025 A184026 A184027

Keyword

nonn

Author

R. H. Hardin Jan 08 2011

Status

approved