login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A206063 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X3 or 3X2 subblock having exactly two clockwise edge increases 9
256, 2184, 2184, 19832, 21140, 19832, 170688, 167960, 167960, 170688, 1499080, 1390488, 1278672, 1390488, 1499080, 13136860, 11638960, 11155584, 11155584, 11638960, 13136860, 114770680, 96831504, 101369476, 111242648, 101369476 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

........256.......2184.......19832........170688........1499080

.......2184......21140......167960.......1390488.......11638960

......19832.....167960.....1278672......11155584......101369476

.....170688....1390488....11155584.....111242648.....1198231144

....1499080...11638960...101369476....1198231144....18209383140

...13136860...96831504...910785080...12877680064...265284773176

..114770680..805817696..8150091296..144759802024..4049733446192

.1005245456.6714115792.73102971728.1569116858248.62573461436920

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..263

FORMULA

Empirical for column k:

k=1: a(n) = 3*a(n-1) +34*a(n-2) +145*a(n-3) -18*a(n-4) -2*a(n-5) +11*a(n-6) +6*a(n-7) +2*a(n-8) +4*a(n-9) for n>10

k=2: a(n) = 3*a(n-1) +20*a(n-2) +189*a(n-3) +102*a(n-4) +187*a(n-5) -612*a(n-6) -110*a(n-7) +186*a(n-8) +82*a(n-9) +43*a(n-10) -5*a(n-11) -16*a(n-12) for n>17

k=3: a(n) = a(n-2) +695*a(n-3) +2*a(n-4) +1693*a(n-5) -1278*a(n-7) +682*a(n-9) +286*a(n-11) +32*a(n-13) for n>20

k=4: a(n) = 1307*a(n-3) +24*a(n-4) +677*a(n-5) +44*a(n-6) +256*a(n-7) for n>16

k=5: a(n) = 3457*a(n-3) +526*a(n-5) for n>14

k=6: a(n) = 9491*a(n-3) +213*a(n-5) for n>15

k=7: a(n) = 26761*a(n-3) +573*a(n-5) for n>16

EXAMPLE

Some solutions for n=4 k=3

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

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

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

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

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

CROSSREFS

Sequence in context: A237076 A237069 A346961 * A206056 A207799 A207792

Adjacent sequences:  A206060 A206061 A206062 * A206064 A206065 A206066

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 03 2012

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 15 21:38 EDT 2021. Contains 348034 sequences. (Running on oeis4.)