A210178 Number of (n+1)X4 0..3 arrays containing all values 0..3 with every 2X2 subblock having three or four distinct values, and new values 0..3 introduced in row major order

744, 79017, 7363642, 677791782, 62264517380, 5718695139568, 525217898009080, 48237037195753208, 4430181416208443992, 406876280707186239248, 37368290569123715949088, 3431974791829880915134368

Offset

1,1

Comments

Column 3 of A210183

Links

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

Formula

Empirical: a(n) = 93*a(n-1) +199*a(n-2) -28711*a(n-3) +35176*a(n-4) +2453690*a(n-5) -5602318*a(n-6) -51561340*a(n-7) +96505796*a(n-8) +378763976*a(n-9) -653899024*a(n-10) -988302720*a(n-11) +1830649984*a(n-12) +381532160*a(n-13) -1548998656*a(n-14) +621346816*a(n-15) -44040192*a(n-16)

Example

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

Crossrefs

Sequence in context: A235252 A268891 A306281 * A192731 A288261 A000521

Adjacent sequences: A210175 A210176 A210177 * A210179 A210180 A210181

Keyword

nonn

Author

R. H. Hardin Mar 18 2012

Status

approved