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!)
A121572 Subprimorials: inverse binomial transform of primorials (A002110). 2
1, 1, 3, 17, 119, 1509, 18799, 342397, 6340263, 151918421, 4619754311, 140219120601, 5396354613583, 221721908976697, 9431597787000999, 447473598316521449, 24163152239530299719, 1444153946379288324477 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

By analogy with subfactorials, which are the inverse binomial transform of the factorials.

LINKS

Table of n, a(n) for n=0..17.

FORMULA

a(n) = sum_{k=0}^n (-1)^{n-k} C(n,k) Prime(k)#, where p# is p primorial and Prime(0)# = 1.

A007318^(-1) * A002110. - Gary W. Adamson, Dec 14 2007

EXAMPLE

a(3) = 30 - 3*6 + 3*2 - 1 = 17.

CROSSREFS

Cf. A002110, A000166. See A079266 for a different definition of subprimorial.

Sequence in context: A074554 A074544 A165976 * A249924 A074543 A216314

Adjacent sequences:  A121569 A121570 A121571 * A121573 A121574 A121575

KEYWORD

nonn

AUTHOR

Franklin T. Adams-Watters, Aug 08 2006

EXTENSIONS

More terms from R. J. Mathar, Sep 18 2007

Edited by N. J. A. Sloane, May 15 2008 at the suggestion of R. J. Mathar

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 December 19 10:49 EST 2014. Contains 252204 sequences.