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A222838 T(n,k)=Number of nXk 0..3 arrays with no element equal to another at a city block distance of exactly two, and new values 0..3 introduced in row major order 6
1, 2, 2, 3, 7, 3, 7, 24, 24, 7, 19, 96, 72, 96, 19, 55, 384, 216, 216, 384, 55, 163, 1536, 648, 600, 648, 1536, 163, 487, 6144, 1944, 1536, 1536, 1944, 6144, 487, 1459, 24576, 5832, 4056, 4032, 4056, 5832, 24576, 1459, 4375, 98304, 17496, 10584, 9600, 9600, 10584 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

.....1.......2.......3.......7......19......55.....163......487.....1459

.....2.......7......24......96.....384....1536....6144....24576....98304

.....3......24......72.....216.....648....1944....5832....17496....52488

.....7......96.....216.....600....1536....4056...10584....27744....72600

....19.....384.....648....1536....4032....9600...22848....55296...133824

....55....1536....1944....4056....9600...24576...55296...124416...279936

...163....6144....5832...10584...22848...55296..138240...301056...642048

...487...24576...17496...27744...55296..124416..301056...743424..1572864

..1459...98304...52488...72600..133824..279936..642048..1572864..3833856

..4375..393216..157464..190104..322944..645504.1382400..3250176..7962624

.13123.1572864..472392..497664..779328.1476096.3022848..6690816.15925248

.39367.6291456.1417176.1302936.1881600.3393024.6690816.14155776.31850496

LINKS

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

FORMULA

Empirical for column k:

k=1: a(n) = 4*a(n-1) -3*a(n-2) for n>4

k=2: a(n) = 4*a(n-1) for n>3

k=3: a(n) = 3*a(n-1) for n>2

k=4: a(n) = 2*a(n-1) +2*a(n-2) -a(n-3) for n>4

k=5: a(n) = 2*a(n-1) +2*a(n-3) +a(n-4) for n>7

k=6: a(n) = 2*a(n-1) +2*a(n-2) -4*a(n-3) +4*a(n-4) -4*a(n-5) +2*a(n-6) -6*a(n-7) +a(n-10) for n>14

k=7: a(n) = 2*a(n-1) +a(n-3) -2*a(n-4) +4*a(n-5) +a(n-6) -a(n-9) for n>14

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A052919(n-2)

Sequence in context: A208151 A203362 A183407 * A222944 A222871 A222779

Adjacent sequences:  A222835 A222836 A222837 * A222839 A222840 A222841

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 06 2013

STATUS

approved

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Last modified October 20 08:15 EDT 2020. Contains 337900 sequences. (Running on oeis4.)