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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A229354 Total sum of n-th powers of parts in all partitions of 3. 2
6, 9, 17, 39, 101, 279, 797, 2319, 6821, 20199, 60077, 179199, 535541, 1602519, 4799357, 14381679, 43112261, 129271239, 387682637, 1162785759, 3487832981, 10462450359, 31385253917, 94151567439, 282446313701, 847322163879, 2541932937197, 7625731702719 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

FORMULA

a(n) = Sum_{k=1..3} A066633(3,k) * k^n.

a(n) = 4 + 2^n + 3^n.

G.f.: -(29*x^2-27*x+6)/((x-1)*(2*x-1)*(3*x-1)).

MAPLE

a:= n-> 4+2^n+3^n:

seq(a(n), n=0..30);

CROSSREFS

Row n=3 of A213191.

Sequence in context: A316067 A316068 A327796 * A316069 A301720 A316070

Adjacent sequences:  A229351 A229352 A229353 * A229355 A229356 A229357

KEYWORD

nonn,easy

AUTHOR

Alois P. Heinz, Sep 20 2013

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 October 22 00:52 EDT 2019. Contains 328315 sequences. (Running on oeis4.)