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%I #3 Jul 14 2012 11:32:22
%S 3,2,32,15,17,4,7,6,35,8,11,10,14,21,12,28,65,9,56,18,136,568,23,99,
%T 101,20,13,27,34,30,143,145,38,16,19,47,195,91,197,175,26,51,59,799,
%U 69,62,163,255,257,66,31,717,2904,33,377,79,323,325,25
%N Least positive integer m such that A087285(n) = A154333(m) = m^3 - next smaller square.
%C 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 A087285(n) = A154333(a(n)) = a(n)^3 - [sqrt(a(n)^3 - 1)]^2 = A000578(a(n)) - A048760(a(n)^3-1).
%o (PARI) A154332(n) = { local(m); until(m++^3-sqrtint(m^3-1)^2==A087285[n],); m }
%K nonn
%O 1,1
%A _M. F. Hasler_, Jan 07 2009
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