A278014 T(n,k)=Number of nXk 0..2 arrays with every element plus 1 mod 3 equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) or (1,0), with upper left element zero.

0, 0, 0, 0, 6, 0, 0, 28, 30, 0, 0, 168, 410, 198, 0, 0, 960, 6372, 7204, 1230, 0, 0, 5530, 98410, 315060, 121826, 7734, 0, 0, 31808, 1516632, 13597418, 14786448, 2072344, 48510, 0, 0, 183000, 23376048, 586416930, 1772657688, 699721024, 35217368

Offset

1,5

Comments

Table starts

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

.0.......6..........28............168................960...................5530

.0......30.........410...........6372..............98410................1516632

.0.....198........7204.........315060...........13597418..............586416930

.0....1230......121826.......14786448.........1772657688...........212235186204

.0....7734.....2072344......699721024.......233160226732.........77589535205794

.0...48510....35217368....33064544648.....30622716754158......28318244060569024

.0..304422...598579468..1562794615162...4022851892753872...10338163442842553944

.0.1910190.10173619772.73862525475272.528455116917488310.3774002232626515614634

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Formula

Empirical for column k:

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

k=3: [order 9]

k=4: [order 28]

Empirical for row n:

n=2: a(n) = 6*a(n-1) -8*a(n-3) -a(n-4)

n=3: [order 19]

n=4: [order 63]

Example

Some solutions for n=3 k=4
..0..2..1..0. .0..1..0..0. .0..1..2..0. .0..1..0..0. .0..1..0..1
..1..0..0..2. .1..2..1..1. .1..1..2..1. .0..2..2..1. .0..2..1..2
..2..2..0..1. .1..1..0..2. .2..0..1..0. .1..2..2..0. .1..1..1..1

Crossrefs

Sequence in context: A230968 A028700 A362791 * A368846 A230337 A019157

Adjacent sequences: A278011 A278012 A278013 * A278015 A278016 A278017

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 08 2016

Status

approved