The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A132772 a(n) = n*(n + 30). 3
 0, 31, 64, 99, 136, 175, 216, 259, 304, 351, 400, 451, 504, 559, 616, 675, 736, 799, 864, 931, 1000, 1071, 1144, 1219, 1296, 1375, 1456, 1539, 1624, 1711, 1800, 1891, 1984, 2079, 2176, 2275, 2376, 2479, 2584, 2691, 2800, 2911, 3024, 3139, 3256, 3375, 3496, 3619 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Harvey P. Dale, Table of n, a(n) for n = 0..1000 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.: x*(31-29*x)/(1-x)^3. - R. J. Mathar, Nov 14 2007 a(n) = 2*n + a(n-1) + 29 (with a(0)=0). - Vincenzo Librandi, Aug 03 2010 a(0)=0, a(1)=31, a(2)=64, a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). - Harvey P. Dale, Mar 06 2015 From Amiram Eldar, Jan 16 2021: (Start) Sum_{n>=1} 1/a(n) = H(30)/30 = A001008(30)/A102928(30) = 9304682830147/69872686884000, where H(k) is the k-th harmonic number. Sum_{n>=1} (-1)^(n+1)/a(n) = 225175759291/9981812412000. (End) E.g.f.: x*(31 + x)*exp(x). - G. C. Greubel, Mar 13 2022 MATHEMATICA Table[n(n+30), {n, 0, 50}] (* or *) LinearRecurrence[{3, -3, 1}, {0, 31, 64}, 50] (* Harvey P. Dale, Mar 06 2015 *) PROG (PARI) a(n)=n*(n+30) \\ Charles R Greathouse IV, Jun 17 2017 (Sage) [n*(n+30) for n in (0..50)] # G. C. Greubel, Mar 13 2022 CROSSREFS Cf. A001008, A002378, A005563, A028347, A028552, A028557, A028560, A028563, A028566. Cf. A028569, A067079, A098849, A098850, A098603, A098847, A098848, A102928, A120071. Cf. A132759, A132760, A132761, A132762, A132763, A132764, A132765, A132766, A132767. Cf. A132768, A132769, A132770, A132771. Sequence in context: A042918 A042920 A247438 * A116324 A179571 A044133 Adjacent sequences:  A132769 A132770 A132771 * A132773 A132774 A132775 KEYWORD nonn,easy AUTHOR Omar E. Pol, Aug 28 2007 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.

Last modified May 20 08:03 EDT 2022. Contains 353852 sequences. (Running on oeis4.)