A210081 Number of (n+1)X4 0..3 arrays containing all values 0..3 with every 2X2 subblock having one, three or four distinct values, and new values 0..3 introduced in row major order

762, 82691, 7853122, 735082380, 68665065250, 6412474476465, 598825420604059, 55920736247669053, 5222101046613170832, 487660554256085032486, 45539680595791970480828, 4252676350134684608035531

Offset

1,1

Comments

Column 3 of A210086

Links

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

Formula

Empirical: a(n) = 111*a(n-1) -1551*a(n-2) -11620*a(n-3) +269796*a(n-4) -346276*a(n-5) -10657824*a(n-6) +37514734*a(n-7) +105399645*a(n-8) -595931403*a(n-9) +25518343*a(n-10) +3128667030*a(n-11) -3607436824*a(n-12) -4027147296*a(n-13) +9243102400*a(n-14) -2810113344*a(n-15) -3425981120*a(n-16) +1936238208*a(n-17) +61521408*a(n-18) -60604416*a(n-19)

Example

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

Crossrefs

Sequence in context: A253616 A253611 A326369 * A083645 A145718 A049516

Adjacent sequences: A210078 A210079 A210080 * A210082 A210083 A210084

Keyword

nonn

Author

R. H. Hardin Mar 17 2012

Status

approved