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!)
A081685 A sum of decreasing powers. 2
1, 0, -2, 24, 382, 3480, 26398, 183624, 1217662, 7844280, 49595998, 309603624, 1915345342, 11771312280, 71987479198, 438579414024, 2664184199422, 16146411375480, 97676153291998, 590010215086824, 3559688013155902, 21455704981601880, 129219894496730398 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
Binomial transform of A081684
LINKS
FORMULA
a(n)=6^n-5^n-4^n-3^n+3*2^n
G.f.:(-1-636*x^4+516*x^3-153*x^2+20*x)/((6*x-1)*(4*x-1)*(3*x-1)*(2*x-1)*(5*x-1)) [From Maksym Voznyy (voznyy(AT)mail.ru), Jul 27 2009]
a(0)=1, a(1)=0, a(2)=-2, a(3)=24, a(4)=382, a(n)=20*a(n-1)- 155*a(n-2)+ 580*a(n-3)-1044*a(n-4)+720*a(n-5). - Harvey P. Dale, Sep 15 2014
MATHEMATICA
Table[6^n-5^n-4^n-3^n+3*2^n, {n, 0, 30}] (* or *) LinearRecurrence[{20, -155, 580, -1044, 720}, {1, 0, -2, 24, 382}, 30] (* Harvey P. Dale, Sep 15 2014 *)
CROSSREFS
Sequence in context: A170913 A090114 A188953 * A288944 A052670 A052736
KEYWORD
easy,sign
AUTHOR
Paul Barry, Mar 30 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 March 28 17:25 EDT 2024. Contains 371254 sequences. (Running on oeis4.)