Search: id:A121572 Results 1-1 of 1 results found. %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 Search completed in 0.001 seconds