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A222878 T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements equal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..3 order 10
1, 1, 2, 2, 11, 5, 11, 122, 131, 15, 34, 1814, 6282, 2150, 51, 131, 26311, 409775, 443510, 32491, 187, 438, 399849, 19707855, 95867967, 23794078, 533186, 715, 2150, 6013669, 1340197778, 20978414941, 22794825314, 1698174722, 8362152, 2795, 7676 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Table starts

.....1..........1...............2...................11......................34

.....2.........11.............122.................1814...................26311

.....5........131............6282...............409775................19707855

....15.......2150..........443510.............95867967.............20978414941

....51......32491........23794078..........22794825314..........16473931317022

...187.....533186......1698174722........5472896849943.......17791003053622809

...715....8362152.....93656293632.....1322676376672081....14337592109053271558

..2795..135650378...6637413406814...321195816580955511.15577784123509878927189

.11051.2155759835.372075279639542.78284744747263499257

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..82

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Column 1 is A007581(n-1)

Row 1 is A222650

Sequence in context: A141651 A213990 A275429 * A090525 A328455 A265530

Adjacent sequences:  A222875 A222876 A222877 * A222879 A222880 A222881

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 08 2013

STATUS

approved

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Last modified January 21 17:26 EST 2022. Contains 350479 sequences. (Running on oeis4.)