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Search: id:A073576
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%I A073576
%S A073576 1,1,2,3,4,6,9,12,16,21,28,36,47,60,76,96,120,150,185,228,280,342,416,
%T A073576 504,608,731,877,1048,1249,1484,1759,2079,2452,2885,3387,3968,4640,
%U A073576 5413,6304,7328,8504,9852,11395,13159,15172,17468,20082,23056,26434
%N A073576 Number of partitions of n into square-free parts.
%C A073576 Essentially the same as A058647?
%C A073576 Euler transform of the absolute values of A008683 [From Tilman Neumann 
               (Tilman.Neumann(AT)web.de), Dec 13 2008]
%F A073576 G.f.: 1/Product_{k>0} (1-x^A005117(k)). a(n)= 1/n*Sum_{k=1..n} A048250(k)*a(n-k).
%F A073576 a(n) = A000041(n) - A114374(n) - A117395(n), n>0. - Reinhard Zumkeller 
               (reinhard.zumkeller(AT)gmail.com), Mar 11 2006
%Y A073576 Cf. A058647.
%Y A073576 Cf. A087188.
%Y A073576 Sequence in context: A060729 A155510 A058647 this_sequence A069907 A001935 
               A083365
%Y A073576 Adjacent sequences: A073573 A073574 A073575 this_sequence A073577 A073578 
               A073579
%K A073576 nonn
%O A073576 0,3
%A A073576 Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 27 2002

    
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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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