A210169 Number of (n+1)X4 0..3 arrays containing all values 0..3 with every 2X2 subblock having two or four distinct values, and new values 0..3 introduced in row major order

101, 3283, 89293, 2266901, 55406625, 1323907951, 31194685583, 728618654983, 16924786006687, 391770747425385, 9048653573565509, 208704389188320759, 4809477953050228735, 110770487003358715391, 2550345502157173838959

Offset

1,1

Comments

Column 3 of A210174

Links

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

Formula

Empirical: a(n) = 63*a(n-1) -1431*a(n-2) +12729*a(n-3) +3336*a(n-4) -726316*a(n-5) +2597781*a(n-6) +14573977*a(n-7) -80969613*a(n-8) -143169465*a(n-9) +1105985892*a(n-10) +755457488*a(n-11) -8134284268*a(n-12) -2199693420*a(n-13) +33945204080*a(n-14) +3581733232*a(n-15) -80566448928*a(n-16) -3198195264*a(n-17) +104642408704*a(n-18) +1573518080*a(n-19) -66575366656*a(n-20) -375523328*a(n-21) +15376932864*a(n-22) -161906688*a(n-23) -629932032*a(n-24)

Example

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

Crossrefs

Sequence in context: A275986 A368416 A215119 * A027900 A166218 A167626

Adjacent sequences: A210166 A210167 A210168 * A210170 A210171 A210172

Keyword

nonn

Author

R. H. Hardin Mar 18 2012

Status

approved