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A267901 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to at least one horizontal or vertical neighbor and the top left element equal to 0. 5
0, 1, 0, 1, 2, 0, 1, 3, 6, 0, 1, 11, 20, 30, 0, 1, 29, 268, 138, 192, 0, 1, 93, 2324, 17658, 1488, 1560, 0, 1, 268, 28318, 414138, 1696920, 20400, 15120, 0, 1, 842, 315196, 28493946, 134764368, 273460560, 317520, 171360, 0, 1, 2547, 3786836, 1246334388 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

.0......1......1.........1.........1........1..........1.......1....1.1

.0......2......3........11........29.......93........268.....842.2547

.0......6.....20.......268......2324....28318.....315196.3786836

.0.....30....138.....17658....414138.28493946.1246334388

.0....192...1488...1696920.134764368

.0...1560..20400.273460560

.0..15120.317520

.0.171360

.0

LINKS

Table of n, a(n) for n=1..49.

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 2 is A005922(n-1).

Sequence in context: A062104 A257783 A226874 * A276561 A325746 A325842

Adjacent sequences:  A267898 A267899 A267900 * A267902 A267903 A267904

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 22 2016

STATUS

approved

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Last modified December 10 00:54 EST 2019. Contains 329885 sequences. (Running on oeis4.)