A350984 a(0)=0, a(1)=18, a(2)=612; a(n) = 35*(a(n-1)-a(n-2))+a(n-3).

0, 18, 612, 20790, 706248, 23991642, 815009580, 27686334078, 940520349072, 31950005534370, 1085359667819508, 36870278700328902, 1252504116143363160, 42548269670174018538, 1445388664669773267132, 49100666329102117063950, 1667977266524802206907168, 56662126395514172917779762, 1924844320180957076997604740

Offset: 0

Author

N. J. A. Sloane, Mar 08 2022

Keywords

• nonn
• easy

References

• P.-F. Teilhet, Query 2376, L'Intermédiaire des Mathématiciens, 11 (1904), 138-139.

Links

• Index entries for linear recurrences with constant coefficients, signature (34,-1).

Crossrefs

Cf. A001541, A001542, A350983.

Equals 18*A029547(n-1) for n >= 1.

Equals 18*A091761.

Programs

Mathematica

CoefficientList[Series[18*x/(x^2 - 34*x + 1), {x, 0, 20}], x] (* Wesley Ivan Hurt, Sep 03 2022 *)

Formula

From Chai Wah Wu, Mar 08 2022: (Start)

a(n) = 34*a(n-1) - a(n-2) for n > 1.

G.f.: 18*x/(x^2 - 34*x + 1). (End)