%I A134611
%S A134611 1,4,8,9,16,25,27,32,49,64,81,121,125,128,169,243,256,289,343,361,512,
%T A134611 529,625,729,841,961,1024,1331,1369,1512,1681,1849,2048,2187,2197,2209,
%U A134611 2401,2809,3125,3481,3721,4096,4489,4913,5041,5329,6241,6561,6859,6889
%N A134611 Nonprime numbers such that the cube mean of their prime factors is an 
               integer (where the cube mean of c and d is ((c^3+d^3)/2)^(1/3)).
%C A134611 All perfect prime powers (A025475) are included.
%e A134611 a(5)=25, since 25=5*5 and ((5^3+5^3)/2)^(1/3)=5. a(29)=1512, since 1512=2*2*2*3*3*3*7 
               and
%e A134611 ((3*2^3+3*3^3+7^3)/7)^(1/3)=64^(1/3)=4.
%Y A134611 Cf. A001597, A025475, A134333, A134344, A134376.
%Y A134611 Cf. A134600, A134602, A134605, A134608, A134617, A134619, A134621.
%Y A134611 Sequence in context: A088949 A134600 A134601 this_sequence A134612 A025475 
               A125643
%Y A134611 Adjacent sequences: A134608 A134609 A134610 this_sequence A134612 A134613 
               A134614
%K A134611 nonn
%O A134611 1,2
%A A134611 Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Nov 11 2007