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!)
A083580 Binomial transform of A083579. 2
0, 1, 3, 10, 34, 114, 374, 1202, 3798, 11842, 36550, 111954, 340982, 1034210, 3127206, 9434866, 28419286, 85503618, 257035142, 772219538, 2319017910, 6962034466, 20896589158, 62711787570, 188181500054, 564640969154 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
a(n) = 2*3^n/3-5*0^n/12-(n+1)*2^(n-2).
G.f.: x*(1-4*x+5*x^2)/((1-2*x)^2*(1-3*x)). - Colin Barker, Apr 16 2012
EXAMPLE
a(0) = 2/3-5/12-1/4 = 0 (use 0^0=1).
MATHEMATICA
CoefficientList[Series[x*(1 - 4*x + 5*x^2)/((1 - 2*x)^2*(1 - 3*x)), {x, 0, 30}], x] (* Wesley Ivan Hurt, Dec 28 2023 *)
CROSSREFS
Cf. A083579.
Sequence in context: A308499 A034215 A193036 * A255631 A289601 A291337
KEYWORD
easy,nonn
AUTHOR
Paul Barry, May 01 2003
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 18 18:59 EDT 2024. Contains 374388 sequences. (Running on oeis4.)