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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A145718 Numbers x such that there exists n in N with (x+127)^3-x^3=n^2.

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%I A145718 #18 Jan 06 2024 00:58:19
%S A145718 762,1676527,3403477826,6909058439031,14025385227883882,
%T A145718 28471525103545970207,57797181934813091765106,
%U A145718 117328250856145472737323751,238176291440793374843675578202,483497754296559694787188686555087,981500203045724739624618190031377186
%N A145718 Numbers x such that there exists n in N with (x+127)^3-x^3=n^2.
%H A145718 Vincenzo Librandi, <a href="/A145718/b145718.txt">Table of n, a(n) for n = 1..200</a>
%H A145718 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (2031,-2031,1).
%F A145718 a(n+2) = 2030*a(n+1)-a(n)+128778.
%F A145718 a(n) = 127*A145720(n). - _Colin Barker_, Oct 18 2014
%F A145718 G.f.: 127*x*(7*x^2-1015*x-6) / ((x-1)*(x^2-2030*x+1)). - _Colin Barker_, Oct 18 2014
%e A145718 a(1)=762 because the first relation is (762+127)^3-762^3=16129^2.
%t A145718 CoefficientList[Series[127 (7 x^2 - 1015 x - 6)/((x - 1) (x^2 - 2030 x + 1)), {x, 0, 20}], x] (* _Vincenzo Librandi_, Oct 18 2014 *)
%o A145718 (PARI) Vec(127*x*(7*x^2-1015*x-6)/((x-1)*(x^2-2030*x+1)) + O(x^20)) \\ _Colin Barker_, Oct 18 2014
%o A145718 (Magma) I:=[762,1676527]; [n le 2 select I[n] else 2030*Self(n-1)-Self(n-2)+128778: n in [1..20]]; // _Vincenzo Librandi_, Oct 18 2014
%Y A145718 Cf. A145720.
%K A145718 easy,nonn
%O A145718 1,1
%A A145718 _Richard Choulet_, Oct 16 2008
%E A145718 Editing and more terms from _Colin Barker_, Oct 18 2014