A154609 a(n) = 13*n + 5.

5, 18, 31, 44, 57, 70, 83, 96, 109, 122, 135, 148, 161, 174, 187, 200, 213, 226, 239, 252, 265, 278, 291, 304, 317, 330, 343, 356, 369, 382, 395, 408, 421, 434, 447, 460, 473, 486, 499, 512, 525, 538, 551, 564, 577, 590, 603, 616, 629, 642, 655, 668, 681, 694

Offset

0,1

Comments

Any square mod 13 is one of 0, 1, 3, 4, 9, 10 or 12 (A010376) but not 5, for this reason there are no squares in sequence. - 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.: (8*x+5)/(1-x)^2. - Vincenzo Librandi, Feb 26 2012

a(n) = 2*a(n-1)-a(n-2). - Vincenzo Librandi, Feb 26 2012

Mathematica

Range[5, 1000, 13] (* Vladimir Joseph Stephan Orlovsky, May 31 2011 *)
CoefficientList[Series[(8 x + 5)/(1 - x)^2, {x, 0, 60}], x] (* Vincenzo Librandi, Feb 26 2012 *)

Prog

(PARI) a(n)=13*n+5 \\ Charles R Greathouse IV, Dec 28 2011
(Magma) I:=[5, 18]; [n le 2 select I[n] else 2*Self(n-1)-Self(n-2): n in [1..50]]; // Vincenzo Librandi, Feb 26 2012

Crossrefs

Sequence in context: A140365 A063294 A063141 * A063125 A031004 A063120

Adjacent sequences: A154606 A154607 A154608 * A154610 A154611 A154612

Keyword

nonn,easy

Author

Vincenzo Librandi, Jan 15 2009

Status

approved