A209522 Number of nX3 0..7 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..7 introduced in row major order

5, 57, 2027, 107693, 7700397, 687132348, 71519658191, 8190834795146, 990354435624550, 123286203872982432, 15583473550178836892, 1985385176761852694734, 253978177065210815069458

Offset

1,1

Comments

Column 3 of A209527

Links

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

Formula

Empirical: a(n) = 272*a(n-1) -24648*a(n-2) +828436*a(n-3) +149527*a(n-4) -622108500*a(n-5) +12598172586*a(n-6) -33558174264*a(n-7) -1578553176492*a(n-8) +17819275800656*a(n-9) -28667330106760*a(n-10) -594252767603616*a(n-11) +3792849444610432*a(n-12) -4923895161267584*a(n-13) -25653638667831936*a(n-14) +97101168572132352*a(n-15) -88244422976636928*a(n-16) -79190406866239488*a(n-17) +174755710679777280*a(n-18) -81018004244004864*a(n-19) +7489524376535040*a(n-20) for n>21

Example

Some solutions for n=5
..0..0..0....0..0..1....0..0..0....0..0..0....0..0..1....0..1..0....0..0..0
..1..2..1....1..2..2....1..2..1....1..2..1....2..1..3....0..2..1....1..2..1
..0..0..1....0..0..1....3..2..3....0..0..0....3..1..0....0..1..0....0..0..0
..1..2..0....1..2..0....0..0..0....1..2..1....0..0..2....0..2..1....1..2..1
..0..0..1....2..0..1....1..2..1....3..2..3....1..2..1....1..1..0....3..1..0

Crossrefs

Sequence in context: A209498 A209739 A209460 * A213796 A086060 A068003

Adjacent sequences: A209519 A209520 A209521 * A209523 A209524 A209525

Keyword

nonn

Author

R. H. Hardin Mar 10 2012

Status

approved