A094125 a(n) = 3*2^n + 2*3^n.

5, 12, 30, 78, 210, 582, 1650, 4758, 13890, 40902, 121170, 360438, 1075170, 3213222, 9615090, 28796118, 86290050, 258673542, 775627410, 2326095798, 6976714530, 20926997862, 62774702130, 188311523478, 564909404610, 1694677882182, 5083932983250, 15251597623158

Offset

0,1

Links

Jason Bard, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (5,-6).

Formula

a(n) = A007283(n) + A008776(n).

From Colin Barker, Mar 30 2013: (Start)

G.f.: -(13*x - 5) / ((2*x - 1)*(3*x - 1)).

a(n) = 5*a(n-1) - 6*a(n-2). (End)

E.g.f.: exp(2*x)*(3 + 2*exp(x)). - Stefano Spezia, Apr 26 2025

Maple

A094125:=n->3*2^n + 2*3^n; seq(A094125(n), n=0..100); # Wesley Ivan Hurt, Nov 16 2013

Mathematica

Table[3 2^n + 2 3^n, {n, 0, 100}] (* Wesley Ivan Hurt, Nov 16 2013 *)

Prog

(Magma) [3*2^n+2*3^n: n in [0..30]]; // Vincenzo Librandi, Dec 26 2010

Crossrefs

Cf. A007689, A000079, A000244.

Sequence in context: A009428 A220029 A192520 * A015625 A038357 A090974

Adjacent sequences: A094122 A094123 A094124 * A094126 A094127 A094128

Keyword

nonn,easy

Author

Reinhard Zumkeller, Jun 01 2004

Status

approved