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!)
A235179 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 5, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). 1
72, 212, 576, 1696, 4656, 13736, 38064, 112504, 314448, 930968, 2622192, 7775032, 22048848, 65462648, 186741360, 555058840, 1591397328, 4734719768, 13632852720, 40593168760, 117299196240, 349504739000, 1012931275632, 3019805931352 (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) = 16*a(n-2) - 65*a(n-4) + 14*a(n-6).

Empirical g.f.: 4*x*(18 + 53*x - 144*x^2 - 424*x^3 + 30*x^4 + 95*x^5) / ((1 - 7*x^2)*(1 - 9*x^2 + 2*x^4)). - Colin Barker, Oct 17 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Column 1 of A235186.

Sequence in context: A250786 A302886 A235186 * A204492 A204485 A358514

Adjacent sequences: A235176 A235177 A235178 * A235180 A235181 A235182

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 04 2014

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 March 20 15:35 EDT 2023. Contains 361384 sequences. (Running on oeis4.)