A210314 Number of (n+1)X3 0..3 arrays containing all values 0..3 with every 2X2 subblock having two or three distinct values, and new values 0..3 introduced in row major order

35, 4125, 279526, 16048775, 863174816, 45102170733, 2324938770750, 119066365167743, 6078269658276164, 309804771379081797, 15778253418814486642, 803272327276093831503, 40886881399081354971416

Offset

1,1

Comments

Column 2 of A210320

Links

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

Formula

Empirical: a(n) = 79*a(n-1) -1474*a(n-2) +1450*a(n-3) +39515*a(n-4) -30297*a(n-5) -122076*a(n-6) +99228*a(n-7) +43912*a(n-8) -53472*a(n-9) +11232*a(n-10)

Example

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

Crossrefs

Sequence in context: A202578 A213404 A249887 * A294851 A266053 A115963

Adjacent sequences: A210311 A210312 A210313 * A210315 A210316 A210317

Keyword

nonn

Author

R. H. Hardin Mar 20 2012

Status

approved