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

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A190705 6*n^2*(2*n+1). 1

%I

%S 0,18,120,378,864,1650,2808,4410,6528,9234,12600,16698,21600,27378,

%T 34104,41850,50688,60690,71928,84474,98400,113778,130680,149178,

%U 169344,191250,214968,240570,268128,297714,329400

%N 6*n^2*(2*n+1).

%C Number of partitions of 12*n+1 into 4 parts.

%H Vincenzo Librandi, <a href="/A190705/b190705.txt">Table of n, a(n) for n = 0..1000</a>

%F a(n) = 6 * A099721(n).

%e a(1)=18: there are 18 partitions of 12*1+1=13 into 4 parts:

%e [1,1,1,10], [1,1,2,9], [1,1,3,8], [1,1,4,7], [1,1,5,6], [1,2,2,8], [1,2,3,7],[1,2,4,6], 1,2,5,5], [1,3,3,6], [1,3,4,5], [1,4,4,4], [2,2,2,7], [2,2,3,6], [2,2,4,5], [2,3,3,5], [2,3,4,4], [3,3,3,4].

%t Table[6n^2(2n + 1), {n, 0, 30}]

%o (MAGMA) [6*n^2*(2*n+1): n in [0..40]]; // Vincenzo Librandi, Jun 14 2011

%o (PARI) a(n)=6*n^2*(2*n+1) \\ _Charles R Greathouse IV_, Aug 05 2013

%K nonn,easy

%O 0,2

%A _Adi Dani_, Jun 14 2011

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 November 27 11:59 EST 2014. Contains 250196 sequences.