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A208872 T(n,k)=Number of nXk 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors 14
1, 2, 2, 5, 12, 5, 15, 136, 143, 15, 51, 1798, 6520, 1979, 51, 187, 24472, 307165, 324682, 28246, 187, 715, 334618, 14493405, 52947540, 16205218, 405481, 715, 2795, 4578580, 683903931, 8624977114, 9130195864, 808928836, 5826959, 2795, 11051, 62655190 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

....1........2.............5................15.....................51

....2.......12...........136..............1798..................24472

....5......143..........6520............307165...............14493405

...15.....1979........324682..........52947540.............8624977114

...51....28246......16205218........9130195864..........5134914951163

..187...405481.....808928836.....1574432811027.......3057224057476808

..715..5826959...40380275500...271499374919883....1820216057105650386

.2795.83752328.2015711853262.46818078167209471.1083724145919960847502

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..160

EXAMPLE

Some solutions for n=4 k=3

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

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

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

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

CROSSREFS

Column 1 and row 1 are A007581(n-1)

Sequence in context: A230090 A286465 A208258 * A208581 A233357 A248664

Adjacent sequences: A208869 A208870 A208871 * A208873 A208874 A208875

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 02 2012

STATUS

approved

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Last modified March 24 15:23 EDT 2023. Contains 361479 sequences. (Running on oeis4.)