A016958 a(n) = (6*n + 4)^2.

16, 100, 256, 484, 784, 1156, 1600, 2116, 2704, 3364, 4096, 4900, 5776, 6724, 7744, 8836, 10000, 11236, 12544, 13924, 15376, 16900, 18496, 20164, 21904, 23716, 25600, 27556, 29584, 31684, 33856, 36100, 38416, 40804, 43264, 45796, 48400, 51076, 53824, 56644

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..3000

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

Formula

a(n) = A016957(n)^2. - Zerinvary Lajos, Jun 30 2009; cleaned up by R. J. Mathar, Aug 05 2010

Sum_{n>=0} 1/a(n) = A086730. - Amiram Eldar, Nov 17 2020

From Elmo R. Oliveira, Sep 10 2025: (Start)

G.f.: 4*(4 + 13*x + x^2)/(1 - x)^3.

E.g.f.: 4*exp(x)*(4 + 21*x + 9*x^2).

a(n) = 4*A016790(n) = A016778(2*n+1).

a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). (End)

Mathematica

Table[(6*n + 4)^2, {n, 0, 30}] (* Amiram Eldar, Nov 17 2020 *)

Prog

(Magma) [(6*n+4)^2: n in [0..50]]; // Vincenzo Librandi, May 06 2011
(PARI) a(n)=(6*n+4)^2 \\ Charles R Greathouse IV, Jun 17 2017

Crossrefs

Second bisection of A016778.

Cf. A016790, A016957, A086730.

Sequence in context: A014762 A045784 A354877 * A108677 A001249 A014796

Adjacent sequences: A016955 A016956 A016957 * A016959 A016960 A016961

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved