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!)
A183645 Number of (n+1) X 3 0..4 arrays with every 2 X 2 subblock summing to 8. 1
325, 1001, 3445, 12785, 50125, 205001, 867205, 3771425, 16784125, 76156601, 351254965, 1642635665, 7771818925, 37132805801, 178875434725, 867570709505, 4231667890525, 20736710344601, 102006361694485, 503350999256945 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 2 of A183652.
LINKS
FORMULA
Empirical: a(n) = 15*a(n-1) - 85*a(n-2) + 225*a(n-3) - 274*a(n-4) + 120*a(n-5).
Empirical g.f.: x*(325 - 3874*x + 16055*x^2 - 26930*x^3 + 15000*x^4) / ((1 - x)*(1 - 2*x)*(1 - 3*x)*(1 - 4*x)*(1 - 5*x)). - Colin Barker, Apr 01 2018
EXAMPLE
Some solutions for 5 X 3:
1 2 1 0 3 0 3 1 2 0 4 0 2 2 2 2 2 2 4 1 1
4 1 4 4 1 4 3 1 4 4 0 4 4 0 4 2 2 2 1 2 4
1 2 1 3 0 3 1 3 0 2 2 2 1 3 1 0 4 0 3 2 0
3 2 3 4 1 4 1 3 2 1 3 1 3 1 3 0 4 0 0 3 3
2 1 2 0 3 0 4 0 3 1 3 1 1 3 1 1 3 1 3 2 0
CROSSREFS
Cf. A183652.
Sequence in context: A351801 A160580 A158272 * A299708 A031714 A133447
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 06 2011
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 June 15 01:02 EDT 2024. Contains 373402 sequences. (Running on oeis4.)