login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Please make a donation to keep the OEIS running. In 2018 we replaced the server with a faster one, added 20000 new sequences, and reached 7000 citations (often saying "discovered thanks to the OEIS").
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A017282 a(n) = (10*n + 1)^2. 2
1, 121, 441, 961, 1681, 2601, 3721, 5041, 6561, 8281, 10201, 12321, 14641, 17161, 19881, 22801, 25921, 29241, 32761, 36481, 40401, 44521, 48841, 53361, 58081, 63001, 68121, 73441, 78961, 84681, 90601, 96721, 103041, 109561, 116281, 123201 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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

G.f.: (1+118*x+81*x^2)/(1-x)^3. - Bruno Berselli, Jul 30 2011

a(n) = a(n-1) + 200n - 80, n > 0; a(0)=1. - Miquel Cerda, Oct 30 2016

a(n) = A017281(n)^2. - Michel Marcus, Oct 30 2016

MATHEMATICA

Table[(10 n + 1)^2, {n, 0, 35}] (* or *)

FoldList[#1 + 200 #2 - 80 &, 1, Range@ 35] (* or *)

CoefficientList[Series[(1 + 118 x + 81 x^2)/(1 - x)^3, {x, 0, 35}], x] (* Michael De Vlieger, Mar 30 2017 *)

LinearRecurrence[{3, -3, 1}, {1, 121, 441}, 40] (* Harvey P. Dale, Sep 21 2017 *)

PROG

(MAGMA) [(10*n+1)^2: n in [0..35]]; // Vincenzo Librandi, Jul 30 2011

(PARI) for(n=0, 35, print1((10*n+1)^2", ")); \\ Bruno Berselli, Jul 30 2011

CROSSREFS

Cf. A017281.

Sequence in context: A128608 A144719 A222551 * A036304 A052082 A062555

Adjacent sequences:  A017279 A017280 A017281 * A017283 A017284 A017285

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Bruno Berselli, Jul 30 2011

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 December 16 09:34 EST 2018. Contains 318160 sequences. (Running on oeis4.)