

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
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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)^{nk} 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. AdamsWatters, 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



