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!)
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)

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 A234882 A043155

Adjacent sequences:  A132770 A132771 A132772 * A132774 A132775 A132776

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 2 22:14 EDT 2022. Contains 357230 sequences. (Running on oeis4.)