A017474 a(n) = (11*n + 7)^2.

49, 324, 841, 1600, 2601, 3844, 5329, 7056, 9025, 11236, 13689, 16384, 19321, 22500, 25921, 29584, 33489, 37636, 42025, 46656, 51529, 56644, 62001, 67600, 73441, 79524, 85849, 92416, 99225, 106276, 113569, 121104, 128881, 136900, 145161, 153664, 162409, 171396, 180625, 190096, 199809

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+7)^m: A017473 (m=1), this sequence (m=2), A017475 (m=3), A017476 (m=4), A017477 (m=5), A017478 (m=6), A017479 (m=7), A017480 (m=8), A017481 (m=9), A017482 (m=10), A017483 (m=11), A017484 (m=12).

Programs

GAP

List([0..50], n-> (11*n+7)^2); # G. C. Greubel, Sep 19 2019

Magma

[(11*n+7)^2: n in [0..50]]; // Vincenzo Librandi, Sep 04 2011

Maple

seq((11*n+7)^2, n=0..50); # G. C. Greubel, Sep 19 2019

Mathematica

(11 Range[0,50]+7)^2 (* or *) LinearRecurrence[{3,-3,1},{49,324,841},50] (* Harvey P. Dale, May 19 2019 *)

PARI

a(n)=(11*n+7)^2 \\ Charles R Greathouse IV, Jun 17 2017

Sage

[(11*n+7)^2 for n in (0..50)] # G. C. Greubel, Sep 19 2019

Formula

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

G.f.: (49 +177*x +16*x^2)/(1-x)^3.

E.g.f.: (49 +275*x +121*x^2)*exp(x). (End)