Search: id:A101271
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%I A101271
%S A101271 1,1,2,3,4,5,6,8,9,12,12,16,15,21,20,26,25,33,28,40,36,45,42,56,44,65,
%T A101271 56,70,64,84,66,96,81,100,88,120,90,133,110,132,121,161,120,175,140,176,
%U A101271 156,208,153,220,180,222,196,261,184,280,225,270,240,312,230,341,272
%N A101271 Number of partitions of n into 3 distinct and relatively prime parts.
%F A101271 G.f. for the number of partitions of n into m distinct and relatively 
               prime parts is Sum(moebius(k)*x^(m*(m+1)/2*k)/Product(1-x^(i*k), 
               i=1..m), k=1..infinity).
%e A101271 For n=10 we have 4 such partitions: 1+2+7, 1+3+6, 1+4+5 and 2+3+5.
%p A101271 m:=3: with(numtheory): g:=sum(mobius(k)*x^(m*(m+1)/2*k)/Product(1-x^(i*k),
               i=1..m),k=1..20): gser:=series(g,x=0,80): seq(coeff(gser,x^n),n=6..77); 
               (Deutsch)
%Y A101271 Cf. A023022-A023030, A000741-A000743, A023031-A023035.
%Y A101271 Sequence in context: A011869 A134030 A100054 this_sequence A093110 A165707 
               A052063
%Y A101271 Adjacent sequences: A101268 A101269 A101270 this_sequence A101272 A101273 
               A101274
%K A101271 easy,nonn
%O A101271 6,3
%A A101271 Vladeta Jovovic (vladeta(AT)eunet.rs), Dec 19 2004
%E A101271 More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), May 31 2005

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