A017294 a(n) = (10*n+2)^2.

4, 144, 484, 1024, 1764, 2704, 3844, 5184, 6724, 8464, 10404, 12544, 14884, 17424, 20164, 23104, 26244, 29584, 33124, 36864, 40804, 44944, 49284, 53824, 58564, 63504, 68644, 73984, 79524, 85264

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).

Crossrefs

Cf. A016861, A017293.

Programs

Magma

[(10*n+2)^2: n in [0..35]]; // Vincenzo Librandi, Jul 30 2011

Mathematica

(10 Range[0, 50] + 2)^2 (* Wesley Ivan Hurt, Sep 04 2022 *)

PARI

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

Formula

a(n) = a(n-1)+200n-60, n>0 ; a(0)=4. - Miquel Cerda, Oct 30 2016

G.f.: 4*(1 + 33*x + 16*x^2)/(1 - x)^3. - Ilya Gutkovskiy, Oct 30 2016

a(n) = A017293(n)^2. - Michel Marcus, Oct 30 2016

a(n) = (2*A016861(n))^2. - David A. Corneth, Oct 30 2016