%I A072810
%S A072810 1,1,2,4,7,14,25,48,90,168,316,592,1112,2086,3913,7342,13775,25845,
%T A072810 48490,90978,170694,320257,600867,1127352,2115147,3968453,7445640,
%U A072810 13969562,26209794,49175002,92262491,173103549,324778120,609351037
%N A072810 a(0)=1, a(n) = a(n-1) - sum_{k=2..n} mu(k)a(n-k), where mu(k) is the 
               Moebius function of k.
%C A072810 The radius of convergence of the series A(x) is r=0.5329901818866726, 
               where r is a solution to (1-r) + sum_{n=2..inf} mu(n)r^n = 0. Related 
               limits are limit_{n->inf} a(n) r^n = 0.5842536738793409 and limit_{n->
               inf} a(n+1)/a(n) = 1.8762071685077034.
%F A072810 G.f.: 1/A(x) = (1-x) + sum_{n=2..inf} mu(n)x^n.
%e A072810 a(6)=a(5)-mu(2)a(4)-mu(3)a(3)-mu(4)a(2)-mu(5)a(1)-mu(6)a(0)=14+7+4+0+1-1=25.
%Y A072810 Sequence in context: A000076 A054169 A065491 this_sequence A167606 A065455 
               A026010
%Y A072810 Adjacent sequences: A072807 A072808 A072809 this_sequence A072811 A072812 
               A072813
%K A072810 easy,nonn
%O A072810 0,3
%A A072810 Paul D. Hanna (pauldhanna(AT)juno.com), Aug 09 2002
%E A072810 Corrected by Franklin T. Adams-Watters, Oct 25 2006