A210320 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays containing all values 0..3 with every 2X2 subblock having two or three distinct values, and new values 0..3 introduced in row major order

0, 35, 35, 995, 4125, 995, 19186, 279526, 279526, 19186, 319485, 16048775, 58464712, 16048775, 319485, 4963700, 863174816, 11186190570, 11186190570, 863174816, 4963700, 74362241, 45102170733, 2073034512148, 7415631633670, 2073034512148

Offset

1,2

Comments

Table starts

..........0..............35..................995.....................19186

.........35............4125...............279526..................16048775

........995..........279526.............58464712...............11186190570

......19186........16048775..........11186190570.............7415631633670

.....319485.......863174816........2073034512148..........4840385164324833

....4963700.....45102170733......379491677736164.......3143730516432515149

...74362241...2324938770750....69133776440716096....2038470253990478011542

.1091691712.119066365167743.12569987936154929124.1321089260079684340068116

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Example

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

Crossrefs

Sequence in context: A316348 A146205 A201067 * A165856 A319484 A296869

Adjacent sequences: A210317 A210318 A210319 * A210321 A210322 A210323

Keyword

nonn,tabl

Author

R. H. Hardin Mar 20 2012

Status

approved