A017354 a(n) = (10*n + 7)^2.

49, 289, 729, 1369, 2209, 3249, 4489, 5929, 7569, 9409, 11449, 13689, 16129, 18769, 21609, 24649, 27889, 31329, 34969, 38809, 42849, 47089, 51529, 56169, 61009, 66049, 71289, 76729, 82369, 88209

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+7)^2: n in [0..35]]; // Vincenzo Librandi, Aug 03 2011

Mathematica

Table[(10n+7)^2,{n,0,24}]
LinearRecurrence[{3,-3,1},{49,289,729},40] (* Harvey P. Dale, Apr 29 2025 *)

PARI

a(n)=(10*n+7)^2 \\ Charles R Greathouse IV, Jun 17 2017

Formula

a(n) = 40*A000566(n+1) + 9. - Ken Rosenbaum, Dec 02 2009

G.f.: ( -49-142*x-9*x^2 ) / (x-1)^3. - R. J. Mathar, Mar 21 2016