The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A230938 Number of white-square subarrays of (n+2)X(5+2) 0..3 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero 1
8, 146, 522, 6896, 28216, 396950, 1604098, 22368688, 90493348, 1263445694, 5110596026, 71342555920, 288582390848, 4028614953140, 16295807971272, 227489242462866, 920197584585530, 12845949410201834, 51962066282019906 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 5 of A230940
LINKS
FORMULA
Empirical: a(n) = 63*a(n-2) -257*a(n-4) -6639*a(n-6) +14476*a(n-8) +210885*a(n-10) +297473*a(n-12) -149746*a(n-14) +3509820*a(n-16) +15998822*a(n-18) +18439507*a(n-20) -5600207*a(n-22) -23359537*a(n-24) -11139145*a(n-26) +4160133*a(n-28) +3040715*a(n-30) -1579065*a(n-32) -872680*a(n-34) +360423*a(n-36) +62740*a(n-38) -14788*a(n-40) +16*a(n-42) -256*a(n-44)
EXAMPLE
Some solutions for n=4
..0..x..0..x..0..x..2....0..x..0..x..2..x..0....0..x..2..x..2..x..2
..x..1..x..1..x..3..x....x..1..x..3..x..1..x....x..1..x..3..x..3..x
..0..x..2..x..2..x..2....0..x..2..x..2..x..0....0..x..0..x..2..x..0
..x..3..x..1..x..3..x....x..3..x..3..x..1..x....x..2..x..1..x..1..x
..2..x..2..x..2..x..0....2..x..0..x..2..x..0....1..x..3..x..0..x..2
..x..1..x..1..x..1..x....x..1..x..3..x..1..x....x..0..x..2..x..3..x
CROSSREFS
Sequence in context: A105046 A123812 A064331 * A351922 A239758 A239759
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 01 2013
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 22 13:18 EDT 2024. Contains 372755 sequences. (Running on oeis4.)