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A087188 Number of partitions of n into distinct squarefree parts. 2

%I

%S 1,1,2,1,2,3,3,4,4,5,6,6,8,9,10,13,14,16,18,20,24,27,30,35,37,42,47,

%T 51,59,64,72,81,88,98,109,120,134,147,163,179,195,216,236,258,284,310,

%U 339,371,403,441,480,523,572,621,675,734,796,865,937,1014,1100,1189

%N Number of partitions of n into distinct squarefree parts.

%F O.g.f.: product_{i=1,2,...infinity} [1+x^A005117(i)]. - _R. J. Mathar_, May 16 2008

%e n=9: 5+3+1 = 6+2+1 = 6+3 = 7+2: a(9)=4;

%e n=10: 5+3+2 = 6+3+1 = 7+2+1 = 7+3 = 10: a(10)=5.

%Y Cf. A073576, A000009, A005117.

%Y Cf. A225245.

%K nonn

%O 1,3

%A _Reinhard Zumkeller_, Aug 24 2003

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Last modified June 20 07:54 EDT 2013. Contains 226422 sequences.