A210160 Number of (n+1)X4 0..3 arrays with every 2X2 subblock having two or three distinct values, and new values 0..3 introduced in row major order

1977, 351482, 63734680, 11572169594, 2101304030788, 381562168006676, 69285421396766192, 12581094577437564692, 2284520145501218842460, 414831337889494109430366, 75326557848453481157022672

Offset

1,1

Comments

Column 3 of A210165

Links

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

Formula

Empirical: a(n) = 172*a(n-1) +2086*a(n-2) -61767*a(n-3) -221678*a(n-4) +6709264*a(n-5) -21628195*a(n-6) -28904236*a(n-7) +171575402*a(n-8) +51603*a(n-9) -460002202*a(n-10) +137911776*a(n-11) +512783040*a(n-12) -179902696*a(n-13) -200966160*a(n-14) +54584192*a(n-15) -885504*a(n-16)

Example

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

Crossrefs

Sequence in context: A205653 A206182 A205364 * A234179 A108510 A343971

Adjacent sequences: A210157 A210158 A210159 * A210161 A210162 A210163

Keyword

nonn

Author

R. H. Hardin Mar 18 2012

Status

approved