login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A234452 Number of (n+1) X (1+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant stress 1 X 1 tilings). 1
280, 2400, 21344, 192960, 1755520, 16026240, 146415104, 1339023360, 12242606080, 111999882240, 1024150052864, 9369857679360, 85682076221440, 783906124554240, 7168413301735424, 65584009257615360, 599732112759193600 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 100*a(n-2) - 1384*a(n-4) + 1440*a(n-6).

Empirical g.f.: 8*x*(35 + 300*x - 832*x^2 - 5880*x^3 + 1080*x^4 + 6480*x^5) / (1 - 100*x^2 + 1384*x^4 - 1440*x^6). - Colin Barker, Oct 15 2018

EXAMPLE

Some solutions for n=4:

..4..4....3..5....4..4....3..1....0..1....1..1....4..0....3..0....3..5....3..3

..4..3....2..3....1..0....5..4....1..3....0..1....4..1....4..2....1..2....4..3

..2..0....0..0....5..3....2..2....0..3....0..0....5..3....2..1....4..4....4..2

..4..1....1..2....5..4....2..3....1..3....1..0....2..1....5..3....5..4....5..4

..5..1....1..3....4..2....1..3....0..1....5..5....4..4....2..1....5..5....4..2

CROSSREFS

Column 1 of A234458.

Sequence in context: A233718 A272982 A234458 * A297510 A187384 A297724

Adjacent sequences:  A234449 A234450 A234451 * A234453 A234454 A234455

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 26 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 19 08:17 EDT 2019. Contains 326115 sequences. (Running on oeis4.)