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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A022275 a(n) = n*(17*n + 1)/2. 3
 0, 9, 35, 78, 138, 215, 309, 420, 548, 693, 855, 1034, 1230, 1443, 1673, 1920, 2184, 2465, 2763, 3078, 3410, 3759, 4125, 4508, 4908, 5325, 5759, 6210, 6678, 7163, 7665, 8184, 8720, 9273, 9843, 10430, 11034, 11655, 12293, 12948, 13620, 14309, 15015 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS G. C. Greubel, Table of n, a(n) for n = 0..5000 Index entries for linear recurrences with constant coefficients, signature (3,-3,1). FORMULA a(n) = 17*n + a(n-1) - 8 for n>0, a(0)=0. - Vincenzo Librandi, Aug 04 2010 a(0)=0, a(1)=9, a(2)=35; for n>2, a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). - Harvey P. Dale, May 06 2013 G.f.: x*(9+8*x)/(1-x)^3. - Vincenzo Librandi, Mar 31 2015 a(n) = A022274(-n). - Bruno Berselli, Mar 31 2015 a(n) = A000217(9*n) - A000217(8*n). - Bruno Berselli, Oct 13 2016 E.g.f.: (x/2)*(17*x + 18)*exp(x). - G. C. Greubel, Aug 23 2017 MATHEMATICA Table[n (17 n + 1)/2, {n, 0, 40}] (* or *) LinearRecurrence[{3, -3, 1}, {0, 9, 35}, 40] (* Harvey P. Dale, May 06 2013 *) CoefficientList[Series[x (9 + 8 x) / (1 - x)^3, {x, 0, 40}], x] (* Vincenzo Librandi, Mar 31 2015 *) PROG (Magma) [n*(17*n + 1)/2: n in [0..45]]; // Vincenzo Librandi, Mar 31 2015 (PARI) a(n)=n*(17*n+1)/2 \\ Charles R Greathouse IV, Jun 17 2017 CROSSREFS Cf. A022274. Cf. similar sequences listed in A022289. Sequence in context: A173245 A033566 A226755 * A071398 A212099 A212100 Adjacent sequences: A022272 A022273 A022274 * A022276 A022277 A022278 KEYWORD nonn,easy AUTHOR N. J. A. Sloane EXTENSIONS More terms from Vincenzo Librandi, Mar 31 2015 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 July 20 08:35 EDT 2024. Contains 374442 sequences. (Running on oeis4.)