A210304 Number of (n+1)X4 0..3 arrays containing all values 0..3 with every 2X2 subblock having one or three distinct values, and new values 0..3 introduced in row major order

414, 27957, 1575467, 85724987, 4628067519, 249417760123, 13436313660615, 723757498910275, 38984944780383519, 2099900397267926699, 113109737477748574263, 6092579222040877989907, 328172625066633894785487

Offset

1,1

Comments

Column 3 of A210309

Links

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

Formula

Empirical: a(n) = 81*a(n-1) -1553*a(n-2) +2061*a(n-3) +172685*a(n-4) -899169*a(n-5) -6513363*a(n-6) +44110455*a(n-7) +105719944*a(n-8) -862490004*a(n-9) -709417008*a(n-10) +7693929440*a(n-11) +1058374912*a(n-12) -32657532864*a(n-13) +6969586944*a(n-14) +63976482560*a(n-15) -23949775872*a(n-16) -51839258624*a(n-17) +18903613440*a(n-18) +14501412864*a(n-19) -3227516928*a(n-20)

Example

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

Crossrefs

Sequence in context: A253450 A236149 A231312 * A332141 A187864 A190028

Adjacent sequences: A210301 A210302 A210303 * A210305 A210306 A210307

Keyword

nonn

Author

R. H. Hardin Mar 19 2012

Status

approved