A199209 a(n) = 10*4^n+1.

11, 41, 161, 641, 2561, 10241, 40961, 163841, 655361, 2621441, 10485761, 41943041, 167772161, 671088641, 2684354561, 10737418241, 42949672961, 171798691841, 687194767361, 2748779069441, 10995116277761, 43980465111041

Offset

0,1

Comments

Bisection (odd part) of A083575. - Bruno Berselli, Nov 04 2011

Links

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

Index entries for linear recurrences with constant coefficients, signature (5,-4).

Formula

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

a(n) = 5*a(n-1)-4*a(n-2).

G.f.: (11-14*x)/((1-x)*(1-4*x)). - Bruno Berselli, Nov 04 2011

Mathematica

10*4^Range[0, 30]+1 (* or *) LinearRecurrence[{5, -4}, {11, 41}, 30] (* Harvey P. Dale, May 27 2019 *)

Prog

(Magma) [10*4^n+1: n in [0..30]];

Crossrefs

Cf. A083575.

Sequence in context: A243892 A288795 A213659 * A156733 A079304 A260270

Adjacent sequences: A199206 A199207 A199208 * A199210 A199211 A199212

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 04 2011

Status

approved