A074505 a(n) = 1^n + 2^n + 9^n.

3, 12, 86, 738, 6578, 59082, 531506, 4783098, 43046978, 387421002, 3486785426, 31381061658, 282429540578, 2541865836522, 22876792471346, 205891132127418, 1853020188917378, 16677181699797642, 150094635297261266

Offset

0,1

Links

Table of n, a(n) for n=0..18.

Index entries for linear recurrences with constant coefficients, signature (12,-29,18).

Formula

From Mohammad K. Azarian, Dec 26 2008: (Start)

G.f.: 1/(1-x) + 1/(1-2*x) + 1/(1-9*x).

E.g.f.: e^x + e^(2*x) + e^(9*x). (End)

a(n) = 11*a(n-1) - 18*a(n-2) + 8 with a(0)=3, a(1)=12. - Vincenzo Librandi, Jul 21 2010

Mathematica

Table[1^n + 2^n + 9^n, {n, 0, 20}]
LinearRecurrence[{12, -29, 18}, {3, 12, 86}, 30] (* Harvey P. Dale, Aug 28 2019 *)

Crossrefs

Cf. A001550, A001576, A034513, A001579, A074501..A074580.

Sequence in context: A070825 A232934 A077047 * A260912 A266788 A039305

Adjacent sequences: A074502 A074503 A074504 * A074506 A074507 A074508

Keyword

easy,nonn

Author

Robert G. Wilson v, Aug 23 2002

Status

approved