A132805 A trisection of A024495.

0, 3, 21, 171, 1365, 10923, 87381, 699051, 5592405, 44739243, 357913941, 2863311531, 22906492245, 183251937963, 1466015503701, 11728124029611, 93824992236885, 750599937895083, 6004799503160661, 48038396025285291, 384307168202282325, 3074457345618258603

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (7,8).

Formula

From Philippe Deléham, Nov 19 2007: (Start)

a(n) = A132804(n)/2.

G.f.: 3x/(1 - 7*x - 8*x^2).

a(n+1) = 7*a(n) + 8*a(n-1) for n >= 1, a(0)=0, a(1)=3. (End)

a(n) = 3*A015565(n). - R. J. Mathar, Aug 07 2017

Mathematica

LinearRecurrence[{7, 8}, {0, 3}, 40] (* Harvey P. Dale, Feb 08 2015 *)

Prog

(Magma) [-(1/3)*(-1)^n+(1/3)*8^n: n in [0..25]]; // Vincenzo Librandi, Aug 10 2011

Crossrefs

Cf. A029898.

Sequence in context: A370284 A046637 A220103 * A372459 A189475 A331328

Adjacent sequences: A132802 A132803 A132804 * A132806 A132807 A132808

Keyword

nonn,easy

Author

Paul Curtz, Nov 18 2007

Status

approved