A017582 a(n) = (12n + 5)^2.

25, 289, 841, 1681, 2809, 4225, 5929, 7921, 10201, 12769, 15625, 18769, 22201, 25921, 29929, 34225, 38809, 43681, 48841, 54289, 60025, 66049, 72361, 78961, 85849, 93025, 100489, 108241, 116281

Offset

0,1

Links

Table of n, a(n) for n=0..28.

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

Formula

a(n) = A017581(n)^2. - Michel Marcus, Dec 28 2014

G.f.: (25 + 214*x + 49*x^2)/(1-x)^3. - Vincenzo Librandi, Dec 28 2014

Mathematica

lst={}; Do[AppendTo[lst, (12*n+5)^2], {n, 0, 5!}]; lst (* Vladimir Joseph Stephan Orlovsky, Jun 29 2009 *)
CoefficientList[Series[(25 + 214 x + 49 x^2) / (1 - x)^3, {x, 0, 40}], x] (* Vincenzo Librandi, Dec 28 2014 *)
(12*Range[0, 30]+5)^2 (* or *) LinearRecurrence[{3, -3, 1}, {25, 289, 841}, 30] (* Harvey P. Dale, Jul 19 2019 *)

Prog

(PARI) a(n)=(12*n+5)^2 \\ Charles R Greathouse IV, Jun 17 2017

Crossrefs

Sequence in context: A225873 A351925 A029987 * A335598 A210430 A158990

Adjacent sequences: A017579 A017580 A017581 * A017583 A017584 A017585

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved