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

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..10000
• Index entries for linear recurrences with constant coefficients, signature (3,-3,1).

Programs

Magma

[(10*n+4)^2: n in [0..40] ]; // Vincenzo Librandi, Aug 01 2011

Mathematica

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

PARI

a(n)=(10*n+4)^2 \\ Charles R Greathouse IV, Jun 17 2017

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