cp's OEIS Frontend

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.

A145323 Numbers x such that there exists n in N : (x+1)^3-x^3=31*n^2.

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%I A145323 #14 Jan 17 2024 09:46:31
%S A145323 22,546817,13288758862,322943417329657,7848170914656577702,
%T A145323 190726249245040733996497,4635029301304809002926304542,
%U A145323 112640481889583219144074318995337,2737388986245622090334485097298387382,66524027031100626149725437690471091174177
%N A145323 Numbers x such that there exists n in N : (x+1)^3-x^3=31*n^2.
%H A145323 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (24303,-24303,1).
%F A145323 a(n+2) = 24302*a(n+1)-a(n)+12150.
%F A145323 G.f.: x*(23*x^2-12151*x-22) / ((x-1)*(x^2-24302*x+1)). - _Colin Barker_, Oct 18 2014
%e A145323 a(1)=22 because the first relation is : 23^3-22^3=31*7^2.
%t A145323 LinearRecurrence[{24303, -24303, 1}, {22, 546817, 13288758862}, 10] (* _Paolo Xausa_, Jan 17 2024 *)
%o A145323 (PARI) Vec(x*(23*x^2-12151*x-22) / ((x-1)*(x^2-24302*x+1)) + O(x^20)) \\ _Colin Barker_, Oct 18 2014
%K A145323 nonn,easy
%O A145323 1,1
%A A145323 _Richard Choulet_, Oct 07 2008
%E A145323 Editing and more terms from _Colin Barker_, Oct 18 2014