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 A033441 Number of edges in 9-partite Turán graph of order n. 11
 0, 0, 1, 3, 6, 10, 15, 21, 28, 36, 44, 53, 63, 74, 86, 99, 113, 128, 144, 160, 177, 195, 214, 234, 255, 277, 300, 324, 348, 373, 399, 426, 454, 483, 513, 544, 576, 608, 641, 675, 710, 746, 783, 821, 860, 900, 940, 981, 1023, 1066, 1110, 1155, 1201, 1248, 1296 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 REFERENCES Graham et al., Handbook of Combinatorics, Vol. 2, p. 1234. LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Christian Meyer, On conjecture no. 76 arising from the OEIS, preprint, 2004. [cached copy] Ralf Stephan, Prove or disprove: 100 conjectures from the OEIS, arXiv:math/0409509 [math.CO], 2004. Eric Weisstein's World of Mathematics, Turán Graph [From Reinhard Zumkeller, Nov 30 2009] Wikipedia, Turán graph [From Reinhard Zumkeller, Nov 30 2009] Index entries for linear recurrences with constant coefficients, signature (2, -1, 0, 0, 0, 0, 0, 0, 1, -2, 1). FORMULA G.f.: x*(1/(1-x) - 1/(1-x^9))/(1-x)^2. - Ralf Stephan, Mar 05 2004 a(n) = Sum_{k=0..n} A168182(k)*(n-k). - Reinhard Zumkeller, Nov 30 2009 G.f.: -x^2*(x+1)*(x^2+1)*(x^4+1)/((x-1)^3*(x^2+x+1)*(x^6+x^3+1)). - Colin Barker, Aug 09 2012 a(n) = Sum_{i=1..n} floor(8*i/9). - Wesley Ivan Hurt, Sep 12 2017 MATHEMATICA CoefficientList[Series[- x^2 (x + 1) (x^2 + 1) (x^4 + 1)/((x - 1)^3 (x^2 + x + 1) (x^6 + x^3 + 1)), {x, 0, 50}], x] (* Vincenzo Librandi, Oct 20 2013 *) LinearRecurrence[{2, -1, 0, 0, 0, 0, 0, 0, 1, -2, 1}, {0, 0, 1, 3, 6, 10, 15, 21, 28, 36, 44}, 55] (* Ray Chandler, Aug 04 2015 *) CROSSREFS Cf. A002620, A000212, A033436 - A033444. - Reinhard Zumkeller, Nov 30 2009 Sequence in context: A130487 A231684 A108923 * A338334 A107082 A267238 Adjacent sequences: A033438 A033439 A033440 * A033442 A033443 A033444 KEYWORD nonn,easy AUTHOR EXTENSIONS More terms from Vincenzo Librandi, Oct 20 2013 STATUS approved

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Last modified November 29 16:20 EST 2022. Contains 358431 sequences. (Running on oeis4.)