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%I A000158 M1830 N0726 #16 Jun 27 2015 17:50:28
%S A000158 1,2,8,19,41,78,134,218,339,506,730,1023,1397,1884,2477,3218,4118,
%T A000158 5192,6486,8010,9795,11888,14302,17066,20256,23889,27999,32637,37863,
%U A000158 43695,50218,57495,65545,74431,84257,95030,106840,119799,133941,149311,166071
%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 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 A000158 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D A000158 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%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.
%H A000158 B. K. Agarwala and F. C. Auluck, <a href="/A000093/a000093.pdf">Statistical mechanics and partitions into non-integral powers of integers</a>, Proc. Camb. Phil. Soc., 47 (1951), 207-216. [Annotated scanned copy]
%Y A000158 Cf. A000148, A000160, A000234. - _R. J. Mathar_, Jul 03 2009
%K A000158 nonn
%O A000158 3,2
%A A000158 _N. J. A. Sloane_
%E A000158 More terms from _Sean A. Irvine_, Oct 11 2009

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