A205364 Number of (n+1)X3 0..3 arrays with the number of clockwise edge increases in every 2X2 subblock the same

1976, 31848, 516364, 8539884, 143559116, 2448719840, 42290474776, 737993545372, 12988141017436, 230145818607660, 4100220870678448, 73358893720135520, 1316830676835150404, 23698058348765945172, 427312014589126089788

Offset

1,1

Comments

Column 2 of A205370

Links

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

Formula

Empirical: a(n) = 39*a(n-1) -494*a(n-2) +2341*a(n-3) -4372*a(n-4) -2243*a(n-5) +27629*a(n-6) -71364*a(n-7) +132199*a(n-8) -205216*a(n-9) +254720*a(n-10) -262592*a(n-11) +241702*a(n-12) -187260*a(n-13) +118740*a(n-14) -66636*a(n-15) +30712*a(n-16) -10072*a(n-17) +2648*a(n-18) -432*a(n-19) -80*a(n-20) +32*a(n-21)

Example

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

Crossrefs

Sequence in context: A061998 A205653 A206182 * A210160 A234179 A108510

Adjacent sequences: A205361 A205362 A205363 * A205365 A205366 A205367

Keyword

nonn

Author

R. H. Hardin Jan 26 2012

Status

approved