A015247 a(n) = (2*n - 15)*n^2.

0, -13, -44, -81, -112, -125, -108, -49, 64, 243, 500, 847, 1296, 1859, 2548, 3375, 4352, 5491, 6804, 8303, 10000, 11907, 14036, 16399, 19008, 21875, 25012, 28431, 32144, 36163, 40500, 45167, 50176, 55539

Offset

0,2

Links

Ivan Panchenko, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

Formula

G.f.: x*(-13 + 8*x + 17*x^2)/(1-x)^4. - Ivan Panchenko, Nov 09 2013

From G. C. Greubel, Jul 30 2016: (Start)

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4).

E.g.f.: x*(-13 - 9*x + 2*x^2)*exp(x). (End)

Mathematica

Table[(2*n - 15)*n^2 , {n, 0, 25}] (* or *) LinearRecurrence[{4, -6, 4, -1}, {0, -13, -44, -81}, 25] (* G. C. Greubel, Jul 30 2016 *)

Prog

(PARI) a(n)=(2*n-15)*n^2 \\ Charles R Greathouse IV, Jul 30 2016

Crossrefs

Sequence in context: A228505 A224102 A123294 * A033652 A026914 A226514

Adjacent sequences: A015244 A015245 A015246 * A015248 A015249 A015250

Keyword

sign,easy

Author

N. J. A. Sloane, Dec 11 1999

Status

approved