A146529 a(0) = 6, a(n) = v(n) + v(n-1) - 2 where v(0)=4 and v(n) = 2^n + 4.

6, 8, 12, 18, 30, 54, 102, 198, 390, 774, 1542, 3078, 6150, 12294, 24582, 49158, 98310, 196614, 393222, 786438, 1572870, 3145734, 6291462, 12582918, 25165830, 50331654, 100663302, 201326598, 402653190, 805306374, 1610612742

Offset

0,1

Links

Table of n, a(n) for n=0..30.

Index entries for linear recurrences with constant coefficients, signature (3,-2).

Formula

a(n) = 3*a(n-1)-2*a(n-2), n>4. a(n) = 6+3*2^(n-1) = 6+A007283(n-1), n>1. - R. J. Mathar, Nov 21 2008

From Enrique Navarrete, Jan 19 2026: (Start)

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

E.g.f.: (1/2)*(3*exp(2*x) + 12*exp(x) - 2*x - 3). (End)

Mathematica

v[n_] := 2*(If[n == 0, 0, 2^(n - 1)] + 2); Table[v[n], {n, 0, 30}]; Table[If[n == 0, 6, (v[n] + v[n - 1] - 2)], {n, 0, 30}]

Crossrefs

Essentially the same as A153973.

Cf. A007283.

Sequence in context: A315865 A315866 A027691 * A062533 A315867 A315868

Adjacent sequences: A146526 A146527 A146528 * A146530 A146531 A146532

Keyword

nonn,easy

Author

Roger L. Bagula, Oct 30 2008

Extensions

Name simplified by Sean A. Irvine, Jan 31 2026

Status

approved