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A074505 a(n) = 1^n + 2^n + 9^n. 0
3, 12, 86, 738, 6578, 59082, 531506, 4783098, 43046978, 387421002, 3486785426, 31381061658, 282429540578, 2541865836522, 22876792471346, 205891132127418, 1853020188917378, 16677181699797642, 150094635297261266 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 3 20:08 EDT 2020. Contains 336201 sequences. (Running on oeis4.)