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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A153080 a(n) = 13*n + 2. 4
2, 15, 28, 41, 54, 67, 80, 93, 106, 119, 132, 145, 158, 171, 184, 197, 210, 223, 236, 249, 262, 275, 288, 301, 314, 327, 340, 353, 366, 379, 392, 405, 418, 431, 444, 457, 470, 483, 496, 509, 522, 535, 548, 561, 574, 587, 600, 613, 626, 639, 652, 665, 678, 691 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Any square mod 13 is one of 0, 1, 3, 4, 9, 10 or 12 (A010376) but not 2, and for this reason there are no squares in the sequence. Likewise, any cube mod 13 is one of 0, 1, 5, 8 or 12, therefore no term is a cube. - Bruno Berselli, Feb 19 2016

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (2,-1)

FORMULA

G.f.: (2+11*x)/(x-1)^2. - R. J. Mathar, Jan 05 2011

a(n) = 2*a(n-1) - a(n-2). - Vincenzo Librandi, Feb 25 2012

MAPLE

A153080:=n->13*n+2: seq(A153080(n), n=0..100); # Wesley Ivan Hurt, Oct 05 2017

MATHEMATICA

Range[2, 1000, 13] (* Vladimir Joseph Stephan Orlovsky, May 29 2011 *)

LinearRecurrence[{2, -1}, {2, 15}, 30] (* Vincenzo Librandi, Feb 25 2012 *)

PROG

(MAGMA) I:=[2, 15]; [n le 2 select I[n] else 2*Self(n-1)-1*Self(n-2): n in [1..60]]; // Vincenzo Librandi, Feb 25 2012

CROSSREFS

Cf. A008595, A141858, A190991.

Cf. A269100. [From Bruno Berselli, Feb 22 2016]

Sequence in context: A116028 A175828 A300346 * A075312 A212975 A128828

Adjacent sequences:  A153077 A153078 A153079 * A153081 A153082 A153083

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Feb 10 2009

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 August 24 16:14 EDT 2019. Contains 326295 sequences. (Running on oeis4.)