A204569 Number of (n+1)X6 0..3 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..3 introduced in row major order

11448, 1075080, 112592256, 12184154082, 1331721926667, 146012317377342, 16024704563231697, 1759237470505955994, 193152837690597697122, 21207576736241661449097, 2328548082128091084529791

Offset

1,1

Comments

Column 5 of A204572

Links

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

Formula

Empirical: a(n) = 179*a(n-1) -8908*a(n-2) +137964*a(n-3) +1149807*a(n-4) -62747265*a(n-5) +808434446*a(n-6) -4484318662*a(n-7) +3275499119*a(n-8) +100375182249*a(n-9) -615570345873*a(n-10) +1689825045573*a(n-11) -2021674602024*a(n-12) -928315208142*a(n-13) +6467936966622*a(n-14) -8574644356956*a(n-15) +3987231788124*a(n-16) +1799176026996*a(n-17) -3081486709152*a(n-18) +1405762064496*a(n-19) -228153998592*a(n-20)

Example

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

Crossrefs

Sequence in context: A154064 A140922 A216363 * A023071 A349746 A100972

Adjacent sequences: A204566 A204567 A204568 * A204570 A204571 A204572

Keyword

nonn

Author

R. H. Hardin Jan 16 2012

Status

approved