%I A000327 M3819 N1563
%S A000327 1,5,12,23,39,62,91,127,171,228,294,370,461,561,677,811,955,1121,1303,
%T A000327 1499,1719,1960,2218,2499,2806,3131,3485,3868,4274,4706,5166,5658,6175,
%U A000327 6725,7309,7923,8572,9256,9972,10728,11521,12349,13218,14126,15072
%N A000327 Number of partitions into non-integral powers.
%C A000327 a(n) counts the solutions to the inequality x_1^(2/3)+x_2^(2/3)<=n for 
               any two distinct integers 1<=x_1<x_2. - R. J. Mathar, Jul 03 2009
%D A000327 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A000327 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000327 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 A000327 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.
%p A000327 A000327 := proc(n) local a,x1,x2 ; a := 0 ; for x1 from 1 to floor(n^(3/
               2)) do x2 := (n-x1^(2/3))^(3/2) ; if floor(x2) >= x1+1 then a := 
               a+floor(x2-x1) ; fi; od: a ; end: seq(A000327(n),n=3..80) ; [From 
               R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 29 2009]
%Y A000327 Sequence in context: A025740 A054307 A126573 this_sequence A130624 A066869 
               A023172
%Y A000327 Adjacent sequences: A000324 A000325 A000326 this_sequence A000328 A000329 
               A000330
%K A000327 nonn
%O A000327 3,2
%A A000327 N. J. A. Sloane (njas(AT)research.att.com).
%E A000327 More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 29 2009