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A230337 T(n,k)=Number of nXk 0..2 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero 8
0, 0, 0, 0, 6, 0, 0, 34, 34, 0, 0, 218, 534, 218, 0, 0, 1386, 9162, 9162, 1386, 0, 0, 8810, 157200, 438284, 157200, 8810, 0, 0, 56010, 2696012, 20948996, 20948996, 2696012, 56010, 0, 0, 356074, 46237080, 1000237228, 2788320240, 1000237228, 46237080 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

.0......0.........0.............0................0....................0

.0......6........34...........218.............1386.................8810

.0.....34.......534..........9162...........157200..............2696012

.0....218......9162........438284.........20948996...........1000237228

.0...1386....157200......20948996.......2788320240.........370609462746

.0...8810...2696012....1000237228.....370609462746......137077642883940

.0..56010..46237080...47762574418...49266883333526....50711260887195062

.0.356074.792976550.2280709396620.6549249195140490.18760268537988792192

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..161

FORMULA

Empirical for column k:

k=1: a(n) = a(n-1)

k=2: a(n) = 5*a(n-1) +8*a(n-2) +4*a(n-3)

k=3: [order 9] for n>10

k=4: [order 24] for n>26

k=5: [order 64] for n>66

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Sequence in context: A230968 A028700 A278014 * A019157 A019184 A019185

Adjacent sequences:  A230334 A230335 A230336 * A230338 A230339 A230340

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Oct 16 2013

STATUS

approved

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Last modified August 12 21:52 EDT 2022. Contains 356077 sequences. (Running on oeis4.)