A240625 - OEIS

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A240625

Number of nX2 0..3 arrays with no element equal to exactly two horizontal and vertical neighbors, with new values 0..3 introduced in row major order

2, 10, 109, 1332, 16624, 208015, 2604059, 32601488, 408158709, 5110007540, 63975568178, 800952543871, 10027655890879, 125542872147582, 1571754448134085, 19677835970041564, 246359874423207164

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

OFFSET

1,1

COMMENTS

Column 2 of A240629

LINKS

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

FORMULA

Empirical: a(n) = 14*a(n-1) -14*a(n-2) -60*a(n-3) +29*a(n-4) +150*a(n-5) -47*a(n-6) -124*a(n-7) -4*a(n-8) +84*a(n-9) -27*a(n-10) for n>11

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Sequence in context: A355209 A343307 A003167 * A062412 A212491 A364409

Adjacent sequences: A240622 A240623 A240624 * A240626 A240627 A240628

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 09 2014

STATUS

approved