A174333 61*n^2.

0, 61, 244, 549, 976, 1525, 2196, 2989, 3904, 4941, 6100, 7381, 8784, 10309, 11956, 13725, 15616, 17629, 19764, 22021, 24400, 26901, 29524, 32269, 35136, 38125, 41236, 44469, 47824, 51301, 54900, 58621, 62464, 66429, 70516, 74725, 79056

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

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

Formula

a(n) = (31*n)^2-(30*n)^2.

a(n) = 3*a(n-1) -3*a(n-2) +a(n-3). - Vincenzo Librandi, Jul 12 2012

G.f.: 61*x*(1+x)/(1-x)^3. - Vincenzo Librandi, Jul 12 2012

Mathematica

Table[61*n^2, {n, 0, 50}] (* Vincenzo Librandi, Jul 12 2012 *)
LinearRecurrence[{3, -3, 1}, {0, 61, 244}, 40] (* Harvey P. Dale, Apr 14 2022 *)

Prog

(Magma) [61*n^2: n in [0..50]];
(PARI) a(n)=61*n^2 \\ Charles R Greathouse IV, Jun 17 2017

Crossrefs

Sequence in context: A034863 A251312 A158673 * A158680 A152413 A029815

Adjacent sequences: A174330 A174331 A174332 * A174334 A174335 A174336

Keyword

nonn,easy

Author

Vincenzo Librandi, Mar 16 2010

Extensions

Definition clarified by R. J. Mathar, Jul 06 2010

Comment rewritten as formula by Bruno Berselli, Jul 12 2012

Status

approved