A017234 a(n) = (9*n + 6)^2.

36, 225, 576, 1089, 1764, 2601, 3600, 4761, 6084, 7569, 9216, 11025, 12996, 15129, 17424, 19881, 22500, 25281, 28224, 31329, 34596, 38025, 41616, 45369, 49284, 53361, 57600, 62001, 66564, 71289

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (3,-3,1).

Formula

From R. J. Mathar, Mar 21 2016: (Start)

G.f.: ( -36 - 117*x - 9*x^2 ) / (x-1)^3.

a(n) = 9*A016790(n). (End)

Prog

(Magma) [(9*n+6)^2: n in [0..35]]; // Vincenzo Librandi, Jul 25 2011
(PARI) a(n) = (9*n+6)^2; \\ Altug Alkan, Mar 21 2016

Crossrefs

Cf. A000290 (n^2), A017233 (9*n+6).

Sequence in context: A269031 A113164 A237252 * A112474 A166329 A264522

Adjacent sequences: A017231 A017232 A017233 * A017235 A017236 A017237

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved