A190913 Sequence A190914 evaluated at the negative index -n.

5, 0, 2, 9, 2, 10, 29, 14, 50, 99, 82, 220, 365, 416, 926, 1429, 1954, 3842, 5825, 8778, 15922, 24299, 38414, 66240, 102533, 165560, 276954, 434745, 707394, 1163074, 1846069, 3008302, 4900546, 7839115, 12762378, 20694684, 33271421, 54081272, 87516358, 141133157, 229065490, 370410810, 598383689, 970090922, 1568482962

Offset: 0

Author

Reikku Kulon, May 23 2011

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (0,1,3,0,-1)

Crossrefs

Cf. A190914, A000045, A000073, A001608, A000040, A005117, A125666.

Programs

Mathematica

LinearRecurrence[{0,1,3,0,-1},{5,0,2,9,2},50] (* Vincenzo Librandi, Feb 15 2012 *)

PARI

Vec((5-3*x^2-6*x^3)/((x^2+x-1)*(x^3-x^2-x-1))+O(x^99)) \\ Charles R Greathouse IV, Jun 08 2011

Formula

From R. J. Mathar, Jun 05 2011: (Start)

a(n) = A190914(-n).

G.f.: ( 5-3*x^2-6*x^3 ) / ( (x^2+x-1)*(x^3-x^2-x-1) ). (End)

a(n) = A000032(n) + A073145(n). - R. J. Mathar, Jun 05 2011