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

 

Logo

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A253466 Number of (n+1) X (5+1) 0..2 arrays with every 2 X 2 subblock diagonal maximum minus antidiagonal minimum unequal to its neighbors horizontally, vertically, diagonally and antidiagonally. 1
162016, 8536, 5000, 7496, 8000, 12680, 20000, 33416, 68000, 116360, 260000, 448136, 1028000, 1775240, 4100000, 7083656, 16388000, 28317320, 65540000, 113251976, 262148000, 452990600, 1048580000, 1811945096, 4194308000, 7247763080 (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) = 5*a(n-2) - 4*a(n-4) for n>6.

Empirical g.f.: 8*x*(20252 + 1067*x - 100635*x^2 - 4398*x^3 + 78883*x^4 + 1168*x^5) / ((1 - x)*(1 + x)*(1 - 2*x)*(1 + 2*x)). - Colin Barker, Dec 14 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Column 5 of A253468.

Sequence in context: A114669 A204306 A120409 * A225811 A244348 A083633

Adjacent sequences:  A253463 A253464 A253465 * A253467 A253468 A253469

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 01 2015

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 January 15 12:14 EST 2021. Contains 340187 sequences. (Running on oeis4.)