Search: id:A154332 Results 1-1 of 1 results found. %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 Search completed in 0.001 seconds