A033575 a(n) = (2*n+1)*(11*n+1).

1, 36, 115, 238, 405, 616, 871, 1170, 1513, 1900, 2331, 2806, 3325, 3888, 4495, 5146, 5841, 6580, 7363, 8190, 9061, 9976, 10935, 11938, 12985, 14076, 15211, 16390, 17613, 18880, 20191, 21546, 22945

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..1000

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

Formula

From G. C. Greubel, Oct 12 2019: (Start)

G.f.: (1 + 33*x + 10*x^2)/(1-x)^3.

E.g.f.: (1 + 35*x + 22*x^2)*exp(x). (End)

Maple

seq((2*n+1)*(11*n+1), n=0..50); # G. C. Greubel, Oct 12 2019

Mathematica

Table[(2*n+1)*(11*n+1), {n, 0, 50}] (* G. C. Greubel, Oct 12 2019 *)
LinearRecurrence[{3, -3, 1}, {1, 36, 115}, 40] (* Harvey P. Dale, May 25 2024 *)

Prog

(PARI) a(n)=(2*n+1)*(11*n+1) \\ Charles R Greathouse IV, Jun 16 2017
(Magma) [(2*n+1)*(11*n+1): n in [0..50]] // G. C. Greubel, Oct 12 2019
(Sage) [(2*n+1)*(11*n+1) for n in range(50)] # G. C. Greubel, Oct 12 2019
(GAP) List([0..50], n-> (2*n+1)*(11*n+1)); # G. C. Greubel, Oct 12 2019

Crossrefs

Sequence in context: A250426 A176685 A199260 * A044287 A044668 A129367

Adjacent sequences: A033572 A033573 A033574 * A033576 A033577 A033578

Keyword

nonn,easy,changed

Author

N. J. A. Sloane

Status

approved