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

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..10000
• Index entries for linear recurrences with constant coefficients, signature (3,-3,1).

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).

Programs

GAP

List([0..50], n-> (11*n+6)^2); # G. C. Greubel, Sep 19 2019

Magma

[(11*n+6)^2: n in [0..40]]; // Vincenzo Librandi, Sep 03 2011

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 *)

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

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)