A209459 - OEIS

A209459

Number of nX2 0..6 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..6 introduced in row major order

2, 6, 57, 700, 10676, 192994, 3966581, 89157292, 2122477292, 52308803176, 1315354516436, 33456562887760, 856485703088336, 22005434702222368, 566526069249475088, 14601678389694957760, 376583948372941600448

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Column 2 of A209465

LINKS

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

FORMULA

Empirical: a(n) = 44*a(n-1) -456*a(n-2) -1360*a(n-3) +25892*a(n-4) +16752*a(n-5) -259776*a(n-6) -406080*a(n-7) -129600*a(n-8) for n>9

EXAMPLE

Some solutions for n=4

..0..0....0..0....0..0....0..0....0..1....0..0....0..0....0..0....0..0....0..0

..1..2....1..2....1..2....1..2....0..2....1..2....1..2....1..2....1..2....1..2

..0..0....0..0....2..3....0..1....1..0....3..1....3..1....0..1....0..0....1..0

..3..4....1..2....0..0....1..2....0..2....0..0....4..4....0..2....3..1....2..0

CROSSREFS

Sequence in context: A326968 A209497 A209738 * A209521 A357026 A366366

Adjacent sequences: A209456 A209457 A209458 * A209460 A209461 A209462

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 09 2012

STATUS

approved