A244634 a(n) = 27*n^2.

0, 27, 108, 243, 432, 675, 972, 1323, 1728, 2187, 2700, 3267, 3888, 4563, 5292, 6075, 6912, 7803, 8748, 9747, 10800, 11907, 13068, 14283, 15552, 16875, 18252, 19683, 21168, 22707, 24300, 25947, 27648, 29403, 31212, 33075, 34992, 36963, 38988, 41067, 43200, 45387

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.: 27*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) = 27*A000290(n) = 9*A033428(n) = 3*A016766(n). - Omar E. Pol, Jul 03 2014

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

E.g.f.: 27*x*(1 + x)*exp(x).

a(n) = n*A305548(n). (End)

Mathematica

Table[27 n^2, {n, 0, 40}]

Prog

(Magma) [27*n^2: n in [0..40]];
(PARI) a(n)=27*n^2 \\ Charles R Greathouse IV, Jun 17 2017

Crossrefs

Cf. similar sequences listed in A244630.

Cf. A000290, A016766, A033428, A305548.

Sequence in context: A254319 A044278 A044659 * A134171 A129026 A042426

Adjacent sequences: A244631 A244632 A244633 * A244635 A244636 A244637

Keyword

nonn,easy

Author

Vincenzo Librandi, Jul 03 2014

Status

approved