%I A058820
%S A058820 1,5,15,85,475,2501,13045,66965,341875,1736125,8789377,44389205,
%T A058820 223796925,1126802885
%N A058820 a(0) = 1, a(1) = 5; for n>=2 a(n) is the number of degree-n monic reducible 
               polynomials over GF(5), i.e. a(n) = 5^n - A001692(n).
%C A058820 Dimensions of homogeneous subspaces of shuffle algebra over 5-letter 
               alphabet (see A058766 for 2-letter case).
%D A058820 M. Lothaire, Combinatorics on words, Cambridge mathematical library, 
               1983, p. 126 (definition of shuffle algebra).
%Y A058820 Cf. A058766.
%Y A058820 Cf. A001692.
%Y A058820 Sequence in context: A030487 A165470 A165625 this_sequence A054363 A134135 
               A121869
%Y A058820 Adjacent sequences: A058817 A058818 A058819 this_sequence A058821 A058822 
               A058823
%K A058820 nonn
%O A058820 0,2
%A A058820 Claude Lenormand (claude.lenormand(AT)free.fr), Jan 04 2001
%E A058820 Better description from Sharon Sela (sharonsela(AT)hotmail.com), Feb 
               19 2002