A015243 a(n) = (2*n - 9)*n^2.

0, -7, -20, -27, -16, 25, 108, 245, 448, 729, 1100, 1573, 2160, 2873, 3724, 4725, 5888, 7225, 8748, 10469, 12400, 14553, 16940, 19573, 22464, 25625, 29068, 32805, 36848, 41209, 45900, 50933, 56320, 62073

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*(-7 + 8*x + 11*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*(-7 - 3*x + 2*x^2)*exp(x). (End)

Mathematica

Table[(2*n - 9)*n^2, {n, 0, 25}] (* or *) LinearRecurrence[{4, -6, 4, -1}, {0, -7, -20, -27}, 25] (* G. C. Greubel, Jul 30 2016 *)

Prog

(PARI) a(n)=(2*n-9)*n^2 \\ Charles R Greathouse IV, Jul 30 2016

Crossrefs

Sequence in context: A037005 A022419 A070413 * A055069 A134863 A214924

Adjacent sequences: A015240 A015241 A015242 * A015244 A015245 A015246

Keyword

sign,easy

Author

N. J. A. Sloane, Dec 11 1999

Status

approved