A015245 a(n) = (2*n - 11)*n^2.

0, -9, -28, -45, -48, -25, 36, 147, 320, 567, 900, 1331, 1872, 2535, 3332, 4275, 5376, 6647, 8100, 9747, 11600, 13671, 15972, 18515, 21312, 24375, 27716, 31347, 35280, 39527, 44100, 49011, 54272, 59895

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*(-9 + 8*x + 13*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*(-9 - 5*x + 2*x^2)*exp(x). (End)

Mathematica

Table[(2*n - 11)*n^2, {n, 0, 25}] (* or *) LinearRecurrence[{4, -6, 4, -1}, {0, -9, -28, -45}, 25] (* G. C. Greubel, Jul 30 2016 *)

Prog

(PARI) a(n)=(2*n-11)*n^2 \\ Charles R Greathouse IV, Jul 30 2016

Crossrefs

Sequence in context: A124360 A041152 A246750 * A031308 A063155 A366863

Adjacent sequences: A015242 A015243 A015244 * A015246 A015247 A015248

Keyword

sign,easy

Author

N. J. A. Sloane, Dec 11 1999

Status

approved