login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A074556 a(n) = 3^n + 6^n + 8^n. 1
3, 17, 109, 755, 5473, 40787, 309529, 2379275, 18463393, 144315107, 1134267049, 8952908795, 70896790513, 562818102227, 4476415458169, 35654571422315, 284296129664833, 2268726602270147, 18115958853570889, 144724548978127835 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..300

Index entries for linear recurrences with constant coefficients, signature (17,-90,144).

FORMULA

From Mohammad K. Azarian, Dec 30 2008: (Start)

G.f.: 1/(1-3*x) + 1/(1-6*x) + 1/(1-8*x).

E.g.f.: e^(3*x) + e^(6*x) + e^(8*x). (End)

a(n) = 17*a(n-1) - 90*a(n-2) + 144*a(n-3); a(0)=3, a(1)=17, a(2)=109. - Harvey P. Dale, May 19 2011

MATHEMATICA

Table[3^n + 6^n + 8^n, {n, 0, 20}]

LinearRecurrence[{17, -90, 144}, {3, 17, 109}, 21] (* Harvey P. Dale, May 19 2011 *)

PROG

(MAGMA) [3^n + 6^n + 8^n: n in [0..20]]; // Vincenzo Librandi, May 20 2011

CROSSREFS

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

Sequence in context: A123772 A212524 A103730 * A295808 A215048 A119259

Adjacent sequences:  A074553 A074554 A074555 * A074557 A074558 A074559

KEYWORD

easy,nonn

AUTHOR

Robert G. Wilson v, Aug 23 2002

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 18 03:44 EST 2020. Contains 332006 sequences. (Running on oeis4.)