login
This site is supported by donations to The OEIS Foundation.

 

Logo

The submissions stack has been unacceptably high for several months now. Please voluntarily restrict your submissions and please help with the editing. (We don't want to have to impose further limits.)

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A074556 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

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). [From Mohammad K. Azarian, Dec 30 2008]

a(0)=3, a(1)=17, a(2)=109, a(n)=17*a(n-1)-90*a(n-2)+144*a(n-3) [From 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 * A215048 A119259 A249921

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 | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified August 28 13:11 EDT 2015. Contains 261122 sequences.