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A196017 T(n,k)=Number of nXk 0..4 arrays with each element equal to the number of its horizontal and vertical neighbors within one of itself 8
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 7, 7, 3, 1, 1, 5, 13, 25, 13, 5, 1, 1, 9, 16, 27, 27, 16, 9, 1, 1, 17, 32, 91, 106, 91, 32, 17, 1, 1, 31, 65, 231, 316, 316, 231, 65, 31, 1, 1, 57, 125, 455, 835, 708, 835, 455, 125, 57, 1, 1, 105, 211, 1135, 2350, 3572, 3572, 2350 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,13

COMMENTS

Table starts

.1..1...1....1.....1......1.......1........1.........1..........1...........1

.1..1...1....1.....3......5.......9.......17........31.........57.........105

.1..1...2....7....13.....16......32.......65.......125........211.........390

.1..1...7...25....27.....91.....231......455......1135.......2693........6041

.1..3..13...27...106....316.....835.....2350......7232......21846.......63985

.1..5..16...91...316....708....3572....14607.....54710.....196832......782926

.1..9..32..231...835...3572...22711...100094....517009....2740712....14291156

.1.17..65..455..2350..14607..100094...670449...4760391...32900243...226381615

.1.31.125.1135..7232..54710..517009..4760391..44864449..411748723..3838635775

.1.57.211.2693.21846.196832.2740712.32900243.411748723.5122273171.64922269000

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..312

EXAMPLE

Some solutions for n=6 k=4

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

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

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

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

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

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

CROSSREFS

Column 2 is A000213(n-2)

Sequence in context: A296526 A259844 A112707 * A251660 A279453 A054252

Adjacent sequences:  A196014 A196015 A196016 * A196018 A196019 A196020

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Sep 26 2011

STATUS

approved

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Last modified February 25 21:00 EST 2020. Contains 332258 sequences. (Running on oeis4.)