This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A127736 a(n) = n*(n^2+2*n-1)/2. 7
 1, 7, 21, 46, 85, 141, 217, 316, 441, 595, 781, 1002, 1261, 1561, 1905, 2296, 2737, 3231, 3781, 4390, 5061, 5797, 6601, 7476, 8425, 9451, 10557, 11746, 13021, 14385, 15841, 17392, 19041, 20791, 22645, 24606, 26677, 28861, 31161, 33580, 36121, 38787, 41581 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Row sums of A127735. Row sums of A162610. - Reinhard Zumkeller, Jan 19 2013 For n  > 0, a(n) is the number of compositions of n+10 into n parts avoiding parts 2 and 3. - Milan Janjic, Jan 07 2016 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..1000 Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1). FORMULA Row sums of triangle A134390. Also, binomial transform of [1, 6, 8, 3, 0, 0, 0,...). - Gary W. Adamson, Oct 23 2007 a(n) = (n+1)*A000217(n)-n = A006002(n)-n. - R. J. Mathar, Jul 21 2009 a(n) = 4*a(n-1)-6*a(n-2)+4*a(n-3)-a(n-4). G.f.: -x*(x^2-3*x-1) / (x-1)^4. - Colin Barker, Mar 12 2014 a(n) = A057145(n+5,n). - R. J. Mathar, Jul 28 2016 MAPLE A127736:=n->n*(n^2+2*n-1)/2; seq(A127736(n), n=1..40); # Wesley Ivan Hurt, Mar 14 2014 MATHEMATICA Table[n*(n^2 + 2*n - 1)/2, {n, 60}] (* Vladimir Joseph Stephan Orlovsky, Jun 24 2011 *) CoefficientList[Series[-(x^2 - 3 x - 1)/(x - 1)^4, {x, 0, 40}], x] (* Vincenzo Librandi, Mar 14 2014 *) LinearRecurrence[{4, -6, 4, -1}, {1, 7, 21, 46}, 60] (* Harvey P. Dale, Apr 22 2014 *) PROG (PARI) Vec(-x*(x^2-3*x-1)/(x-1)^4 + O(x^100)) \\ Colin Barker, Mar 12 2014 (PARI) a(n) = n*(n^2+2*n-1)/2; \\ Altug Alkan, Jan 07 2016 CROSSREFS Cf. A002260, A127701, A127735, A134390. Sequence in context: A299254 A146411 A287431 * A212677 A146802 A147054 Adjacent sequences:  A127733 A127734 A127735 * A127737 A127738 A127739 KEYWORD nonn,easy AUTHOR Gary W. Adamson, Jan 26 2007 EXTENSIONS More terms and new name from R. J. Mathar, Jul 21 2009 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified April 18 22:08 EDT 2019. Contains 322237 sequences. (Running on oeis4.)