%I A111715
%S A111715 0,1,5,14,39,75,124,224,345,514,710,935,1224,1585,2026,2510,3039,3715,
%T A111715 4556,5456,6417,7506,8662,9887,11256,12700,14221,15902,17666,19515,
%U A111715 21631,23840,26441,29250,32275,35524,38888,42369,46090,49934,54159
%N A111715 Sum of the squares of the first n square-free numbers.
%C A111715 a(n) is prime for a(2) = 5, a(23) = 9887, a(26) = 14221, ... a(n) is 
               semiprime for n = 3, 4, 9, 13, 14, 16, 17, 27, 30, 32, 39, 43, 44, 
               46, 47, ...
%H A111715 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               Squarefree.html">Squarefree</a>.
%F A111715 a(n) = A005117(1)^2 + ... A005117(n)^2.
%e A111715 a(10) = 1^2 + 2^2 + 3^2 + 5^2 + 6^2 + 7^2 + 10^2 + 11^2 + 13^2 + 14^2 
               = 710.
%Y A111715 Cf. A005117.
%Y A111715 Sequence in context: A054486 A072130 A045553 this_sequence A024525 A119996 
               A027089
%Y A111715 Adjacent sequences: A111712 A111713 A111714 this_sequence A111716 A111717 
               A111718
%K A111715 nonn
%O A111715 0,3
%A A111715 Jonathan Vos Post (jvospost3(AT)gmail.com), Nov 17 2005