%I A000160 M1835 N0729
%S A000160 1,2,8,21,48,99,186,330,556,895,1397,2107,3097,4459,6264,8644,11760,
%T A000160 15742,20790,27128,34993,44664,56473,70784,87995,108564,132970,161828,
%U A000160 195686,235274,281349,334682,396202,466849,547712,639935,744716,863443
%N A000160 Number of partitions into non-integral powers.
%C A000160 a(n) counts the solutions to the inequality x_1^(2/3)+x_2^(2/3)+x_3^(2/
               3)+x_4^(2/3)<=n for any four integers 1<=x_1<=x_2<=x_3<=x_4. - R. 
               J. Mathar, Jul 03 2009
%D A000160 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A000160 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000160 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.
%H A000160 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 A000160 Sequence in context: A051744 A062443 A141582 this_sequence A034519 A014409 
               A109782
%Y A000160 Adjacent sequences: A000157 A000158 A000159 this_sequence A000161 A000162 
               A000163
%K A000160 nonn
%O A000160 4,2
%A A000160 N. J. A. Sloane (njas(AT)research.att.com).
%E A000160 More terms from Sean A. Irvine (sairvin(AT)xtra.co.nz), Oct 11 2009