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 A132773 a(n) = n*(n + 31). 0
 0, 32, 66, 102, 140, 180, 222, 266, 312, 360, 410, 462, 516, 572, 630, 690, 752, 816, 882, 950, 1020, 1092, 1166, 1242, 1320, 1400, 1482, 1566, 1652, 1740, 1830, 1922, 2016, 2112, 2210, 2310, 2412, 2516, 2622, 2730, 2840, 2952, 3066, 3182, 3300, 3420, 3542, 3666 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..47. 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 G.f.: 2*x*(-16+15*x)/(-1+x)^3. - R. J. Mathar, Nov 14 2007 a(n) = 2*A132758(n). - R. J. Mathar, Jul 22 2009 a(n) = 2*n + a(n-1) + 30, with n>0, a(0)=0. - Vincenzo Librandi, Aug 03 2010 From Amiram Eldar, Jan 16 2021: (Start) Sum_{n>=1} 1/a(n) = H(31)/31 = A001008(31)/A102928(31) = 290774257297357/2238255069850800, where H(k) is the k-th harmonic number. Sum_{n>=1} (-1)^(n+1)/a(n) = 2*log(2)/31 - 7313175618421/319750724264400. (End) MATHEMATICA Table[n*(n + 31), {n, 0, 100}] (* Wesley Ivan Hurt, Apr 16 2024 *) PROG (PARI) a(n)=n*(n+31) \\ Charles R Greathouse IV, Jun 17 2017 CROSSREFS Cf. A001008, A002378, A102928, A120071, A132760, A132761, A132762, A132763, A132764, A132765, A132766, A132767, A132768, A132769, A132770, A132771, A132772, A098849, A098850, A005563, A028552, A028347, A028557, A028560, A028563, A028566, A028569, A098603, A098847, A132759, A098848. Sequence in context: A110562 A275187 A045048 * A116349 A244341 A234882 Adjacent sequences: A132770 A132771 A132772 * A132774 A132775 A132776 KEYWORD nonn,easy AUTHOR Omar E. Pol, Aug 28 2007 STATUS approved

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Last modified June 24 19:44 EDT 2024. Contains 373690 sequences. (Running on oeis4.)