%I A000148 M1743 N0691
%S A000148 1,2,7,15,28,45,70,100,138,183,242,310,388,481,583,701,838,984,1152,
%T A000148 1337,1535,1757,2001,2262,2545,2855,3183,3540,3926,4335,4770,5233,5728,
%U A000148 6248,6801,7388,8005,8658,9345,10064,10824,11620,12452,13324,14236
%N A000148 Number of partitions into non-integral powers.
%C A000148 a(n) is the number of solutions to the inequality x_1^(2/3)+x_2^(2/3)<=n 
               where 1<=x_1<=x_2 are any two integers. If the number of terms in 
               the sum is not restricted to 2, we get A000298. [From R. J. Mathar 
               (mathar(AT)strw.leidenuniv.nl), Jul 03 2009]
%D A000148 B. K. Agarwala and F. C. Auluck, Statistical mechanics and partitions 
               into non-integral powers of integers, Proc. Camb. Phil. Soc., 47 
               (1951), 207-216.
%D A000148 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000148 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A000148 B. K. Agarwala, F. C. Auluck, <a href="http://dx.doi.org/10.1017/S0305004100026505">
               Statistical mechanics and partitions into non-integral powers of 
               integers</a>, Proc. Camb. Phil. Soc., 47 (1951), 207-216.
%Y A000148 Sequence in context: A113422 A061802 A003452 this_sequence A147672 A095091 
               A131412
%Y A000148 Adjacent sequences: A000145 A000146 A000147 this_sequence A000149 A000150 
               A000151
%K A000148 nonn
%O A000148 2,2
%A A000148 N. J. A. Sloane (njas(AT)research.att.com).
%E A000148 More terms from Sean A. Irvine (sairvin(AT)xtra.co.nz), Oct 08 2009