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!)
A165374 Number of slanted n X 5 (i=1..n) X (j=i..5+i-1) 1..4 arrays with all 1s connected, all 2s connected, all 3s connected, all 4s connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, and 4 in the lower right corner. 1
105, 1622, 11960, 63740, 272548, 993780, 3239860, 9743508, 27593908, 74632788, 194702068, 493466004, 1221540916, 2965389012, 7081701748, 16678011924, 38810916532, 89383135572, 203992087540, 461842419348, 1038214750516 (list; graph; refs; listen; history; text; internal format)
OFFSET
2,1
LINKS
FORMULA
Empirical: a(n) = 8*a(n-1) - 25*a(n-2) + 38*a(n-3) - 28*a(n-4) + 8*a(n-5) for n>=11.
Empirical g.f.: x^2*(105 + 782*x + 1609*x^2 + 4620*x^3 + 2932*x^4 - 3008*x^5 + 3104*x^6 + 1344*x^7 + 128*x^8) / ((1 - x)^2*(1 - 2*x)^3). - Colin Barker, Mar 26 2018
EXAMPLE
Some solutions for n=3:
...1.2.2.2.2.......1.1.1.2.2.......1.1.2.2.2.......1.1.1.2.2....
.....3.3.3.2.2.......1.1.1.2.4.......1.3.3.2.2.......1.1.1.2.2..
.......3.2.2.2.4.......3.3.2.4.4.......3.3.4.4.4.......3.1.2.4.4
------
...1.1.2.2.2.......1.1.1.2.2.......1.1.1.1.2.......1.1.2.2.2....
.....1.1.1.1.1.......1.2.2.2.2.......1.1.1.2.2.......1.1.2.2.2..
.......3.3.3.3.4.......3.3.2.4.4.......3.3.3.4.4.......3.4.4.4.4
------
...1.1.2.2.2.......1.1.1.3.2.......1.1.2.2.2.......1.1.2.2.2....
.....1.2.3.2.4.......3.3.3.2.2.......2.2.2.4.4.......2.2.2.4.4..
.......3.3.3.4.4.......3.2.2.4.4.......3.4.4.4.4.......3.2.2.4.4
CROSSREFS
Sequence in context: A051015 A221449 A076377 * A024198 A027788 A112497
KEYWORD
nonn
AUTHOR
R. H. Hardin, Sep 17 2009
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 July 21 18:17 EDT 2024. Contains 374475 sequences. (Running on oeis4.)