A205434 Number of (n+1)X3 0..3 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..3 introduced in row major order

77, 833, 10275, 140423, 2052727, 31378965, 493169259, 7881048447, 127174581623, 2063732356701, 33596865282059, 547943986385703, 8945881980194071, 146138684496850565, 2388096648177576811, 39031992422458780335

Offset

1,1

Comments

Column 2 of A205440

Links

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

Formula

Empirical: a(n) = 45*a(n-1) -775*a(n-2) +6501*a(n-3) -27165*a(n-4) +43819*a(n-5) +59551*a(n-6) -369405*a(n-7) +633750*a(n-8) -521280*a(n-9) +206064*a(n-10) -31104*a(n-11)

Example

Some solutions for n=4
..0..1..0....0..1..0....0..1..0....0..1..0....0..1..0....0..1..0....0..1..2
..2..0..3....2..0..1....2..0..2....2..0..3....1..2..3....1..0..2....1..0..1
..1..3..0....0..2..3....0..2..1....3..1..2....3..1..0....3..1..3....0..1..3
..2..1..2....3..0..1....1..0..3....2..0..1....2..0..2....0..2..1....2..0..1
..3..2..1....2..1..2....0..2..1....1..3..0....1..3..1....2..0..2....0..1..3

Crossrefs

Sequence in context: A046149 A222728 A223649 * A125581 A176632 A093277

Adjacent sequences: A205431 A205432 A205433 * A205435 A205436 A205437

Keyword

nonn

Author

R. H. Hardin Jan 27 2012

Status

approved