A017486 a(n) = (11*n + 8)^2.

64, 361, 900, 1681, 2704, 3969, 5476, 7225, 9216, 11449, 13924, 16641, 19600, 22801, 26244, 29929, 33856, 38025, 42436, 47089, 51984, 57121, 62500, 68121, 73984, 80089, 86436, 93025, 99856, 106929, 114244, 121801, 129600, 137641, 145924, 154449, 163216, 172225, 181476, 190969, 200704

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+8)^m: A017485 (m=1), this sequence (m=2), A017487 (m=3), A017488 (m=4), A017489 (m=5), A017490 (m=6), A017491 (m=7), A017492 (m=8), A017493 (m=9), A017494 (m=10), A017495 (m=11), A017496 (m=12).

Programs

GAP

List([0..45], n-> (11*n+8)^2); # G. C. Greubel, Sep 21 2019

Magma

[(11*n+8)^2: n in [0..45]]; // Vincenzo Librandi, Sep 04 2011

Maple

seq((11*n+8)^2, n=0..45); # G. C. Greubel, Sep 21 2019

Mathematica

(11*Range[45]-3)^2 (* G. C. Greubel, Sep 21 2019 *)

PARI

a(n)=(11*n+8)^2 \\ Charles R Greathouse IV, Jun 17 2017

Sage

[(11*n+8)^2 for n in (0..45)] # G. C. Greubel, Sep 21 2019

Formula

From G. C. Greubel, Sep 21 2019: (Start)

G.f.: (64 + 169*x + 9*x^2)/(1-x)^3.

E.g.f.: (64 + 297*x + 121*x^2)*exp(x). (End)