login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A186599 T(n,k)=Number of (n+3)X(k+3) 0..3 arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock 10
4294967296, 48243, 48243, 430183, 2703, 430183, 3306753, 8853, 8853, 3306753, 21993587, 104547, 33006, 104547, 21993587, 53301263, 444066, 407733, 407733, 444066, 53301263, 71095231, 884466, 1398069, 2526165, 1398069, 884466, 71095231 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.4294967296...48243..430183.3306753.21993587.53301263.71095231.78728809

......48243....2703....8853..104547...444066...884466..1126074..1184226

.....430183....8853...33006..407733..1398069..1824789..1889853..1922661

....3306753..104547..407733.2526165..5080629..5654805..5711805..5769381

...21993587..444066.1398069.5080629.11494293.12478581.12563805.12653493

...53301263..884466.1824789.5654805.12478581.16898709.17002221.17171973

...71095231.1126074.1889853.5711805.12563805.17002221.17395749.17856813

...78728809.1184226.1922661.5769381.12653493.17171973.17856813.20385141

...86748644.1210122.1956045.5831421.12809421.17632173.20158773.23590989

...89692007.1236594.1993893.5959701.13255797.19933269.23363757.27166341

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..448

FORMULA

Empirical, for all columns: a(n)=2*a(n-1)-a(n-2)+3*a(n-4)-6*a(n-5)+3*a(n-6)+3*a(n-8)-3*a(n-9) for n>30,14,13,14,15,16,17,18 respectively for k=1..8

EXAMPLE

Some solutions for 6X5

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

..0..0..0..0..0....0..0..0..0..0....0..0..0..0..2....0..0..0..0..0

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

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

..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....2..0..0..0..0

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

CROSSREFS

Sequence in context: A244064 A255344 A186590 * A186591 A281576 A288282

Adjacent sequences:  A186596 A186597 A186598 * A186600 A186601 A186602

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 24 2011

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 23 14:52 EDT 2022. Contains 353975 sequences. (Running on oeis4.)