A244635 a(n) = 29*n^2.

0, 29, 116, 261, 464, 725, 1044, 1421, 1856, 2349, 2900, 3509, 4176, 4901, 5684, 6525, 7424, 8381, 9396, 10469, 11600, 12789, 14036, 15341, 16704, 18125, 19604, 21141, 22736, 24389, 26100, 27869, 29696, 31581, 33524, 35525, 37584, 39701, 41876, 44109, 46400, 48749

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

G.f.: 29*x*(1 + x)/(1 - x)^3. [corrected by Bruno Berselli, Jul 03 2014]

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

a(n) = 29*A000290(n). - Omar E. Pol, Jul 03 2014

From Elmo R. Oliveira, Dec 01 2024: (Start)

E.g.f.: 29*x*(1 + x)*exp(x).

a(n) = n*A195819(n). (End)

Mathematica

Table[29 n^2, {n, 0, 40}]

Prog

(Magma) [29*n^2: n in [0..40]];
(PARI) a(n)=29*n^2 \\ Charles R Greathouse IV, Jun 17 2017

Crossrefs

Cf. similar sequences listed in A244630.

Cf. A000290, A195819.

Sequence in context: A254413 A225928 A097461 * A042646 A188359 A042648

Adjacent sequences: A244632 A244633 A244634 * A244636 A244637 A244638

Keyword

nonn,easy

Author

Vincenzo Librandi, Jul 03 2014

Status

approved