%I A000158 M1830 N0726
%S A000158 1,2,8,19,41,78,134,218,339,506,730,1023,1397,1884,2477,3218,4118,5192,
%T A000158 6486,8010,9795,11888,14302,17066,20256,23889,27999,32637,37863,43695,
%U A000158 50218,57495,65545,74431,84257,95030,106840,119799,133941,149311,166071
%N A000158 Number of partitions into non-integral powers.
%C A000158 a(n) counts the solutions to the inequality x_1^(2/3)+x_2^(2/3)+x_3^(2/
               3)<=n for any three integers 1<=x_1<=x_2<=x_3. - R. J. Mathar, Jul 
               03 2009
%D A000158 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A000158 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000158 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 A000158 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 A000158 Cf. A000148, A000160, A000234. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Jul 03 2009]
%Y A000158 Sequence in context: A109071 A031327 A030504 this_sequence A101427 A126877 
               A107769
%Y A000158 Adjacent sequences: A000155 A000156 A000157 this_sequence A000159 A000160 
               A000161
%K A000158 nonn
%O A000158 3,2
%A A000158 N. J. A. Sloane (njas(AT)research.att.com).
%E A000158 More terms from Sean A. Irvine (sairvin(AT)xtra.co.nz), Oct 11 2009