A183188 a(n) = 3*a(n-1) + a(n-3) with a(0)=1, a(1)=2, a(2)=6.

1, 2, 6, 19, 59, 183, 568, 1763, 5472, 16984, 52715, 163617, 507835, 1576220, 4892277, 15184666, 47130218, 146282931, 454033459, 1409230595, 4373974716, 13575957607, 42137103416, 130785284964, 405931812499, 1259932540913, 3910582907703, 12137680535608

Offset

0,2

Links

Table of n, a(n) for n=0..27.

Index entries for linear recurrences with constant coefficients, signature (3,0,1).

Formula

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

a(n) = A052541(n) - A051541(n-1). - R. J. Mathar, Dec 15 2011

Mathematica

LinearRecurrence[{3, 0, 1}, {1, 2, 6}, 30] (* Harvey P. Dale, Nov 02 2024 *)

Crossrefs

Cf. A052541, A193723.

Sequence in context: A037512 A111277 A014346 * A118364 A294500 A208481

Adjacent sequences: A183185 A183186 A183187 * A183189 A183190 A183191

Keyword

easy,nonn

Author

Philippe Deléham, Dec 14 2011

Extensions

Corrected by R. J. Mathar, Dec 15 2011

Status

approved