A184025 1/8 the number of (n+1)X6 0..3 arrays with all 2X2 subblock sums the same

2312, 3781, 6650, 13603, 29432, 70867, 177386, 477919, 1325792, 3881491, 11637650, 36399823, 116243192, 384453427, 1295419706, 4494981199, 15848957072, 57232544851, 209314623650, 779774009743, 2931862472552, 11174138451187

Offset

1,1

Comments

Column 5 of A184029

Links

R. H. Hardin, Table of n, a(n) for n = 1..76

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 4X6
..0..3..1..3..0..3....1..0..0..0..0..0....1..1..3..1..3..1....2..2..2..1..0..2
..3..2..2..2..3..2....0..1..1..1..1..1....3..2..1..2..1..2....1..1..1..2..3..1
..0..3..1..3..0..3....1..0..0..0..0..0....1..1..3..1..3..1....3..1..3..0..1..1
..3..2..2..2..3..2....0..1..1..1..1..1....3..2..1..2..1..2....1..1..1..2..3..1

Crossrefs

Sequence in context: A288798 A035893 A260049 * A251436 A035771 A107567

Adjacent sequences: A184022 A184023 A184024 * A184026 A184027 A184028

Keyword

nonn

Author

R. H. Hardin Jan 08 2011

Status

approved