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!)
A203984 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..2 introduced in row major order 7
6, 24, 24, 96, 144, 96, 384, 864, 864, 384, 1536, 5184, 7776, 5184, 1536, 6144, 31104, 69984, 69984, 31104, 6144, 24576, 186624, 629856, 956448, 629856, 186624, 24576, 98304, 1119744, 5668704, 13071456, 13071456, 5668704, 1119744, 98304, 393216 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.....6......24........96.........384..........1536............6144

....24.....144.......864........5184.........31104..........186624

....96.....864......7776.......69984........629856.........5668704

...384....5184.....69984......956448......13071456.......178855776

..1536...31104....629856....13071456.....271918944......5671161216

..6144..186624...5668704...178855776....5671161216....180709558848

.24576.1119744..51018336..2447270496..118333620576...5764846339584

.98304.6718464.459165024.33489653472.2469841766784.184042295652096

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..220

FORMULA

Empirical for column k:

k=1: a(n) = 6*4^(n-1)

k=2: a(n) = 4*6^n

k=3: a(n) = 96*9^(n-1)

k=4: a(n) = 15*a(n-1) -270*a(n-3) +324*a(n-4)

k=5: a(n) = 25*a(n-1) -45*a(n-2) -963*a(n-3) +2025*a(n-4) +3645*a(n-5) -6561*a(n-6)

k=6: (order 15 recurrence)

k=7: (order 45 recurrence)

EXAMPLE

Some solutions for n=4 k=3

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

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

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

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

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

CROSSREFS

Column 1 is A002023(n-1)

Column 2 is A067411(n+1)

Sequence in context: A223751 A228745 A049319 * A237836 A231324 A274557

Adjacent sequences:  A203981 A203982 A203983 * A203985 A203986 A203987

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 09 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 September 18 05:51 EDT 2021. Contains 347509 sequences. (Running on oeis4.)