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

 

Logo

Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A074506 1^n + 3^n + 4^n. 2
3, 8, 26, 92, 338, 1268, 4826, 18572, 72098, 281828, 1107626, 4371452, 17308658, 68703188, 273218426, 1088090732, 4338014018, 17309009348, 69106897226, 276040168412, 1102998412178, 4408506864308, 17623567104026 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

B. Berselli, Table of n, a(n) for n = 0..1000. [From Bruno Berselli, Jul 20 2010]

Index entries for linear recurrences with constant coefficients, signature (8,-19,12).

FORMULA

a(n) = 7*a(n-1)-12*a(n-2)+6 with a(0)=3, a(1)=8. - Vincenzo Librandi, Jul 19 2010

a(n) = 8*a(n-1) - 19*a(n-2) + 12*a(n-3). - R. J. Mathar, Jul 18 2010

G.f.: 1/(1-x)+1/(1-3*x)+1/(1-4*x). E.g.f.: e^x+e^(3*x)+e^(4*x). [From Mohammad K. Azarian, Dec 26 2008]

MATHEMATICA

Table[1^n + 3^n + 4^n, {n, 0, 22}]

CROSSREFS

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

Equals A074605(n) + 1.

Sequence in context: A148819 A148820 A148821 * A215087 A148822 A124528

Adjacent sequences:  A074503 A074504 A074505 * A074507 A074508 A074509

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified November 20 00:42 EST 2017. Contains 294957 sequences.