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!)
A033443 Number of edges in 11-partite Turán graph of order n. 10
0, 0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 65, 76, 88, 101, 115, 130, 146, 163, 181, 200, 220, 240, 261, 283, 306, 330, 355, 381, 408, 436, 465, 495, 525, 556, 588, 621, 655, 690, 726, 763, 801, 840, 880, 920, 961, 1003, 1046, 1090, 1135, 1181, 1228, 1276 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
REFERENCES
Graham et al., Handbook of Combinatorics, Vol. 2, p. 1234.
LINKS
Eric Weisstein's World of Mathematics, Turán Graph [Reinhard Zumkeller, Nov 30 2009]
Wikipedia, Turán graph [Reinhard Zumkeller, Nov 30 2009]
Index entries for linear recurrences with constant coefficients, signature (2,-1,0,0,0,0,0,0,0,0,1,-2,1).
FORMULA
a(n) = Sum_{k=0..n} A145568(k)*(n-k). [Reinhard Zumkeller, Nov 30 2009]
G.f.: -x^2*(x+1)*(x^4-x^3+x^2-x+1)*(x^4+x^3+x^2+x+1)/((x-1)^3*(x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)). [Colin Barker, Aug 09 2012]
a(n) = Sum_{i=1..n} floor(10*i/11). - Wesley Ivan Hurt, Sep 12 2017
MATHEMATICA
CoefficientList[Series[- x^2 (x + 1) (x^4 - x^3 + x^2 - x + 1) (x^4 + x^3 + x^2 + x + 1)/((x - 1)^3 (x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1)), {x, 0, 60}], x] (* Vincenzo Librandi, Oct 20 2013 *)
CROSSREFS
Sequence in context: A211024 A261422 A262544 * A130490 A033444 A061791
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
More terms from Vincenzo Librandi, Oct 20 2013
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 May 13 06:37 EDT 2024. Contains 372498 sequences. (Running on oeis4.)