A199112 a(n) = 10*3^n+1.

11, 31, 91, 271, 811, 2431, 7291, 21871, 65611, 196831, 590491, 1771471, 5314411, 15943231, 47829691, 143489071, 430467211, 1291401631, 3874204891, 11622614671, 34867844011, 104603532031, 313810596091, 941431788271, 2824295364811

Offset

0,1

Comments

The inverse binomial transform is 11, 20, 40, 80, 160,... closely related to A020714. - R. J. Mathar, Apr 07 2022

Links

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

Index entries for linear recurrences with constant coefficients, signature (4,-3).

Formula

a(n) = 3*a(n-1)-2.

a(n) = 4*a(n-1)-3*a(n-2).

G.f.: (11-13*x)/((1-x)*(1-3*x)). - Bruno Berselli, Nov 04 2011

Mathematica

10*3^Range[0, 30]+1 (* or *) LinearRecurrence[{4, -3}, {11, 31}, 30] (* Harvey P. Dale, Dec 07 2011 *)

Prog

(Magma) [10*3^n+1: n in [0..30]];

Crossrefs

Cf. A020714.

Sequence in context: A259508 A126365 A082102 * A299782 A027847 A068841

Adjacent sequences: A199109 A199110 A199111 * A199113 A199114 A199115

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 04 2011

Status

approved