A017462 a(n) = (11*n + 6)^2.

36, 289, 784, 1521, 2500, 3721, 5184, 6889, 8836, 11025, 13456, 16129, 19044, 22201, 25600, 29241, 33124, 37249, 41616, 46225, 51076, 56169, 61504, 67081, 72900, 78961, 85264, 91809, 98596, 105625, 112896, 120409, 128164, 136161, 144400, 152881, 161604, 170569

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

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

Formula

From G. C. Greubel, Sep 19 2019: (Start)

G.f.: (36 +181*x +25*x^2)/(1-x)^3.

E.g.f.: (36 +253*x +121*x^2)*exp(x). (End)

Maple

seq((11*n+6)^2, n=0..50); # G. C. Greubel, Sep 19 2019

Mathematica

(11*Range[0, 30]+6)^2 (* or *) LinearRecurrence[{3, -3, 1}, {36, 289, 784}, 30] (* Harvey P. Dale, Sep 24 2016 *)

Prog

(Magma)[(11*n+6)^2: n in [0..40]]; // Vincenzo Librandi, Sep 03 2011
(PARI) a(n)=(11*n+6)^2 \\ Charles R Greathouse IV, Jun 17 2017
(Sage) [(11*n+6)^2 for n in (0..50)] # G. C. Greubel, Sep 19 2019
(GAP) List([0..50], n-> (11*n+6)^2); # G. C. Greubel, Sep 19 2019

Crossrefs

Powers of the form (11*n+6)^m: A017461 (m=1), this sequence (m=2), A017463 (m=3), A017464 (m=4), A017465 (m=5), A017466 (m=6), A017467 (m=7), A017468 (m=8), A017469 (m=9), A017470 (m=10), A017471 (m=11), A017472 (m=12).

Sequence in context: A245435 A288963 A091081 * A226836 A218647 A067741

Adjacent sequences: A017459 A017460 A017461 * A017463 A017464 A017465

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved