Search: id:A046042
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%I A046042
%S A046042 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,
%T A046042 3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,
%U A046042 5,5,5,5,5,5,5,5,5,6,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8,9,9,9,9,9,9
%N A046042 Number of partitions of n into fourth powers.
%H A046042 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               Partition.html">Link to a section of The World of Mathematics.</a>
%F A046042 G.f.=-1+1/product(1-x^(j^4),j=1..infinity). - Emeric Deutsch (deutsch(AT)duke.poly.edu), 
               Apr 06 2006
%e A046042 a(33)=3 because we have [16,16,1], [16,1,1,...,1] (17 1's) and [1,1,...,
               1] (33 1's)).
%p A046042 g:=-1+1/product(1-x^(j^4),j=1..10): gser:=series(g,x=0,105): seq(coeff(gser,
               x,n),n=1..102); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 
               06 2006
%Y A046042 Cf. A000583, A002377.
%Y A046042 Sequence in context: A056811 A097430 A054900 this_sequence A071841 A097876 
               A111859
%Y A046042 Adjacent sequences: A046039 A046040 A046041 this_sequence A046043 A046044 
               A046045
%K A046042 nonn
%O A046042 1,16
%A A046042 Eric Weisstein (eric(AT)weisstein.com)

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