A017318 a(n) = (10*n + 4)^2.

16, 196, 576, 1156, 1936, 2916, 4096, 5476, 7056, 8836, 10816, 12996, 15376, 17956, 20736, 23716, 26896, 30276, 33856, 37636, 41616, 45796, 50176, 54756, 59536, 64516, 69696, 75076, 80656, 86436

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

G.f.: -4*(x+4)*(9*x+1)/(x-1)^3. - R. J. Mathar, Mar 20 2018

a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). - Wesley Ivan Hurt, Aug 19 2022

Mathematica

(10Range[0, 30]+4)^2 (* or *) LinearRecurrence[{3, -3, 1}, {16, 196, 576}, 30] (* Harvey P. Dale, May 03 2018 *)

Prog

(Magma) [(10*n+4)^2: n in [0..40] ]; // Vincenzo Librandi, Aug 01 2011
(PARI) a(n)=(10*n+4)^2 \\ Charles R Greathouse IV, Jun 17 2017

Crossrefs

Sequence in context: A281946 A077363 A068989 * A173668 A126981 A086940

Adjacent sequences: A017315 A017316 A017317 * A017319 A017320 A017321

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved