A198646 a(n) = 11*3^n-1.

10, 32, 98, 296, 890, 2672, 8018, 24056, 72170, 216512, 649538, 1948616, 5845850, 17537552, 52612658, 157837976, 473513930, 1420541792, 4261625378, 12784876136, 38354628410, 115063885232, 345191655698, 1035574967096, 3106724901290

Offset

0,1

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(0)=10.

G.f.: (10-8*x) / ((3*x-1)*(x-1)). - R. J. Mathar, Oct 30 2011

a(n) = 4*a(n-1)-3*a(n-2). - Wesley Ivan Hurt, Oct 02 2021

a(n) = 2*A052909(n+1). - R. J. Mathar, Apr 07 2022

Mathematica

11*3^Range[0, 30] - 1 (* Wesley Ivan Hurt, Oct 02 2021 *)

Prog

(Magma) [11*3^n-1: n in [0..30]]

Crossrefs

Cf. A027107, A048473, A171498.

Sequence in context: A229720 A350108 A024933 * A356277 A052210 A084818

Adjacent sequences: A198643 A198644 A198645 * A198647 A198648 A198649

Keyword

nonn,easy

Author

Vincenzo Librandi, Oct 28 2011

Status

approved