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

 

Logo

Many excellent designs for a new banner were submitted. We will use the best of them in rotation.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A033488 n*(n+1)*(n+2)*(n+3)/6. 11
0, 4, 20, 60, 140, 280, 504, 840, 1320, 1980, 2860, 4004, 5460, 7280, 9520, 12240, 15504, 19380, 23940, 29260, 35420, 42504, 50600, 59800, 70200, 81900, 95004, 109620, 125860, 143840, 163680, 185504, 209440 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..700

FORMULA

n*C(3+n, 3). - Zerinvary Lajos, Jan 10 2006

G.f.: 4*x/(1-x)^5. - Colin Barker, Mar 01 2012

G.f.: 2*x/(1-x)*W(0) , where W(k) = 1 + 1/( 1 - x*(k+2)*(k+4)/(x*(k+2)*(k+4) + (k+1)*(k+2)/W(k+1) )) ); (continued fraction). - Sergei N. Gladkovskii, Aug 24 2013

MAPLE

[seq(4*binomial(n, 4), n=3..35)]; - Zerinvary Lajos, Nov 24 2006

MATHEMATICA

f[n_]:=n*(n+1)*(n+2)*(n+3)/6; lst={}; Do[AppendTo[lst, f[n]], {n, 0, 5!}]; lst [From Vladimir Joseph Stephan Orlovsky, Jul 21 2009]

# Binomial[#+3, 3]&/@ Range[0, 40]  (* Harvey P. Dale, Feb 20 2011 *)

PROG

(MAGMA) [n*(n+1)*(n+2)*(n+3)/6: n in [0..40]]; // Vincenzo Librandi, Apr 28 2011

(Maxima) A033488(n):=n*(n+1)*(n+2)*(n+3)/6$ makelist(A033488(n), n, 0, 20); /* Martin Ettl, Jan 22 2013 */

CROSSREFS

1/beta(n, 4) in A061928.

Cf. A000332, A034827, A050534.

Sequence in context: A196295 A196213 A196680 * A018211 A135507 A197404

Adjacent sequences:  A033485 A033486 A033487 * A033489 A033490 A033491

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

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 April 19 08:09 EDT 2014. Contains 240739 sequences.