%I A121572
%S A121572 1,1,3,17,119,1509,18799,342397,6340263,151918421,4619754311,
%T A121572 140219120601,5396354613583,221721908976697,9431597787000999,
%U A121572 447473598316521449,24163152239530299719,1444153946379288324477
%N A121572 Subprimorials: inverse binomial transform of primorials (A002110).
%C A121572 By analogy with subfactorials, which are the inverse binomial transform 
               of the factorials.
%F A121572 a(n) = sum_{k=0}^n (-1)^{n-k} C(n,k) Prime(k)#, where p# is p primorial 
               and Prime(0)# = 1.
%F A121572 A007318^(-1) * A002110. - Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 
               14 2007
%e A121572 a(3) = 30 - 3*6 + 3*2 - 1 = 17.
%Y A121572 Cf. A002110, A000166. See A079266 for a different definition of subprimorial.
%Y A121572 Sequence in context: A074554 A074544 A165976 this_sequence A074543 A129115 
               A093460
%Y A121572 Adjacent sequences: A121569 A121570 A121571 this_sequence A121573 A121574 
               A121575
%K A121572 nonn
%O A121572 0,3
%A A121572 Frank Adams-Watters (FrankTAW(AT)Netscape.net), Aug 08 2006
%E A121572 More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 18 2007
%E A121572 Edited by N. J. A. Sloane (njas(AT)research.att.com), May 15 2008 at 
               the suggestion of R. J. Mathar