%I A002804 M3361 N1353
%S A002804 1,4,9,19,37,73,143,279,548,1079,2132,4223,8384,16673,33203,66190,
%T A002804 132055,263619,526502,1051899,2102137,4201783,8399828,16794048,
%U A002804 33579681,67146738,134274541,268520676,536998744,1073933573,2147771272
%N A002804 (Presumed) solution to Waring's problem: g(n) = 2^n + [ 1.5^n ] - 2.
%D A002804 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A002804 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002804 L. E. Dickson, The Waring Problem and its generalizations, Bulletin of 
               the AMS, 42 (1936) 833-842.
%D A002804 G. H. Hardy, Collected Papers. Vols. 1-, Oxford Univ. Press, 1966-; see 
               vol. 1, p. 668.
%D A002804 G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers. 
               3rd ed., Oxford Univ. Press, 1954, p. 337.
%D A002804 K. Mahler, On the fractional parts of the powers of a rational number 
               (II), Mathematika, 4 (1957) 122-124 Math. Rev. 20:33.
%D A002804 S. Pillai, On Waring's Problem, Journal of Indian Math. Soc., 2 (1936), 
               16-44
%D A002804 J. Roberts, Lure of the Integers, Math. Assoc. America, 1992, p. 138.
%D A002804 P. Ribenboim, The Book of Prime Number Records. Springer-Verlag, NY, 
               2nd ed., 1989, p. 239.
%H A002804 T. D. Noe, <a href="b002804.txt">Table of n, a(n) for n=1..200</a>
%H A002804 A. V. Kumchev and D. I. Tolev, <a href="http://arXiv.org/abs/math.NT/
               0412220">An invitation to additive number theory</a>
%H A002804 M. Waldschmidt, <a href="http://arXiv.org/abs/math.NT/0312440">Open Diophantine 
               problems</a>
%H A002804 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               WaringsProblem.html">Link to a section of The World of Mathematics.</
               a>
%p A002804 A002804 := n->2^n+floor( (3/2)^n ) -2;
%Y A002804 Sequence in context: A008113 A008111 A023611 this_sequence A133649 A101353 
               A008135
%Y A002804 Adjacent sequences: A002801 A002802 A002803 this_sequence A002805 A002806 
               A002807
%K A002804 nonn
%O A002804 1,2
%A A002804 N. J. A. Sloane (njas(AT)research.att.com).