%I A154332
%S A154332 3,2,32,15,17,4,7,6,35,8,11,10,14,21,12,28,65,9,56,18,136,568,23,99,101,
%T A154332 20,13,27,34,30,143,145,38,16,19,47,195,91,197,175,26,51,59,799,69,62,
%U A154332 163,255,257,66,31,717,2904,33,377,79,323,325,25
%N A154332 Least positive integer m such that A087285(n) = A154333(m) = m^3 - next 
               smaller square.
%C A154332 The terms of this sequence constitute a "proof" for the terms listed 
               in A087285. To prove that a number is NOT in A087285, one can check 
               the finite number (A081120) of solutions to the corresponding Mordell 
               equation, cf. references in A081121.
%F A154332 A087285(n) = A154333(a(n)) = a(n)^3 - [sqrt(a(n)^3 - 1)]^2 = A000578(a(n)) 
               - A048760(a(n)^3-1).
%o A154332 (PARI) A154332(n) = { local(m); until(m++^3-sqrtint(m^3-1)^2==A087285[n],
               ); m }
%Y A154332 Sequence in context: A065353 A046272 A054676 this_sequence A136635 A062743 
               A013324
%Y A154332 Adjacent sequences: A154329 A154330 A154331 this_sequence A154333 A154334 
               A154335
%K A154332 nonn
%O A154332 1,1
%A A154332 M. F. Hasler (MHasler(AT)univ-ag.fr), Jan 07 2009