login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A017018 a(n) = (7*n + 3)^2. 1
9, 100, 289, 576, 961, 1444, 2025, 2704, 3481, 4356, 5329, 6400, 7569, 8836, 10201, 11664, 13225, 14884, 16641, 18496, 20449, 22500, 24649, 26896, 29241, 31684, 34225, 36864, 39601, 42436, 45369, 48400 (list; graph; refs; listen; history; text; internal format)
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

a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3); a(0)=9, a(1)=100, a(2)=289. - Harvey P. Dale, Jul 19 2014

G.f.: (-16*x^2 - 73*x - 9)/(x-1)^3. - Harvey P. Dale, Jul 19 2014

MATHEMATICA

(7*Range[0, 40]+3)^2 (* or *) LinearRecurrence[{3, -3, 1}, {9, 100, 289}, 40] (* Harvey P. Dale, Jul 19 2014 *)

PROG

(MAGMA) [(7*n+3)^2: n in [0..35]]; // Vincenzo Librandi, Jul 14 2011

(PARI) a(n)=(7*n+3)^2 \\ Charles R Greathouse IV, Jun 17 2017

CROSSREFS

Cf. A017017.

Sequence in context: A077710 A088780 A132544 * A027769 A266098 A065736

Adjacent sequences:  A017015 A017016 A017017 * A017019 A017020 A017021

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 19 00:04 EDT 2021. Contains 345125 sequences. (Running on oeis4.)