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 A132771 a(n) = n*(n + 29). 3
 0, 30, 62, 96, 132, 170, 210, 252, 296, 342, 390, 440, 492, 546, 602, 660, 720, 782, 846, 912, 980, 1050, 1122, 1196, 1272, 1350, 1430, 1512, 1596, 1682, 1770, 1860, 1952, 2046, 2142, 2240, 2340, 2442, 2546, 2652, 2760, 2870, 2982, 3096, 3212, 3330, 3450, 3572 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS G. C. Greubel, Table of n, a(n) for n = 0..5000 Felix P. Muga II, Extending the Golden Ratio and the Binet-de Moivre Formula, Preprint on ResearchGate, March 2014. Index entries for linear recurrences with constant coefficients, signature (3,-3,1). FORMULA a(n) = 2*n + a(n-1) + 28 (with a(0)=0). - Vincenzo Librandi, Aug 03 2010 From Amiram Eldar, Jan 16 2021: (Start) Sum_{n>=1} 1/a(n) = H(29)/29 = A001008(29)/A102928(29) = 9227046511387/67543597321200, where H(k) is the k-th harmonic number. Sum_{n>=1} (-1)^(n+1)/a(n) = 2*log(2)/29 - 236266661971/9649085331600. (End) From G. C. Greubel, Mar 13 2022: (Start) G.f.: 2*(15*x - 14*x^2)/(1-x)^3. E.g.f.: x*(30 + x)*exp(x). (End) MATHEMATICA Table[n(n+29), {n, 0, 50}] (* Bruno Berselli, Apr 03 2015 *) PROG (PARI) a(n)=n*(n+29) \\ Charles R Greathouse IV, Jun 17 2017 (Sage) [n*(n+29) for n in (0..50)] # G. C. Greubel, Mar 13 2022 CROSSREFS Cf. A001008, A002378, A005563, A028347, A028552, A028557, A028560, A028563, A028566, A028569. Cf. A098849, A098850, A098603, A098847, A098848, A102928, A120071, A132759, A132760, A132761. Cf. A132762, A132763, A132764, A132765, A132766, A132767, A132768, A132769, A132770. Sequence in context: A042796 A042798 A320705 * A326158 A300790 A175259 Adjacent sequences: A132768 A132769 A132770 * A132772 A132773 A132774 KEYWORD easy,nonn AUTHOR Omar E. Pol, Aug 28 2007 STATUS approved

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Last modified August 9 05:18 EDT 2024. Contains 375027 sequences. (Running on oeis4.)