A205754 Number of 3X(n+1) 0..2 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..2 introduced in row major order

74, 284, 1074, 4256, 16986, 68692, 279504, 1143842, 4699050, 19364230, 79981548, 330948764, 1371291912, 5688057508, 23613366558, 98091679448, 407685449946, 1695079113772, 7050018583818, 29329074681854, 122037419381370

Offset

1,1

Comments

Row 2 of A205753

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 8*a(n-1) -2*a(n-2) -98*a(n-3) +73*a(n-4) +496*a(n-5) -196*a(n-6) -1120*a(n-7) -54*a(n-8) +813*a(n-9) +171*a(n-10) -90*a(n-11)

Example

Some solutions for n=4
..0..0..1..2..0....0..1..1..0..1....0..0..0..0..0....0..1..1..1..0
..1..0..1..2..0....0..0..0..0..0....1..0..1..0..1....0..1..2..1..0
..2..1..2..0..1....0..0..0..0..0....0..1..2..1..0....1..2..0..2..1

Crossrefs

Sequence in context: A223907 A232512 A046833 * A238022 A296025 A204362

Adjacent sequences: A205751 A205752 A205753 * A205755 A205756 A205757

Keyword

nonn

Author

R. H. Hardin Jan 30 2012

Status

approved