Search: id:A050802
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%I A050802
%S A050802 9,16,576,1024,6561,9604,11664,28224,36864,51984,65536,97344,140625,
%T A050802 250000,275625,345744,419904,450241,614656,717409,746496,1028196,
%U A050802 1058841,1399489,1500625,1590121,1750329,1806336,1882384,2359296
%N A050802 Squares expressible as the sum of two nonzero cubes in at least one way.
%D A050802 "Game, Set and Math" by Ian Stewart, Chapter 8 'Close Encounters of the 
               Fermat Kind', Penguin Books, Ed. 1991, pp. 107-124.
%H A050802 Tony D. Noe and Harry J. Smith, <a href="b050802.txt">Table of n, a(n) 
               for n=1,...,1000</a>
%H A050802 <a href="Sindx_Su.html#ssq">Index entries for sequences related to sums 
               of squares</a>
%e A050802 E.g. 717409 or 847^2 = 33^3 + 88^3.
%o A050802 (PARI) { nstart=1; a2start=9; n=nstart; a=sqrtint(a2start)-1; until (0, 
               a=a+1; a2=a*a; b1=((a2/2)^(1/3))\1; for (b=b1, a, b3=b*b*b; c1=1; 
               if (a2 > b3, c1=((a2-b3)^(1/3))\1;); for (c=c1, b, d=b3 + c*c*c; 
               if (d > a2 && c == 1, break(2)); if (d > a2, break); if (a2 == d, 
               print(n, " ", a2); write("b050802.txt", n, " ", a2); n=n+1; break(2); 
               ); ) ) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jan 
               15 2009]
%Y A050802 Cf. A050801, A050803.
%Y A050802 Sequence in context: A075373 A072470 A053911 this_sequence A136313 A103707 
               A004751
%Y A050802 Adjacent sequences: A050799 A050800 A050801 this_sequence A050803 A050804 
               A050805
%K A050802 nonn,nice,easy
%O A050802 1,1
%A A050802 Patrick De Geest (pdg(AT)worldofnumbers.com), Sep 15 1999.
%E A050802 More terms from Michel ten Voorde (seqfan(AT)tenvoorde.org)

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