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.

A145122 Numbers X such that (X+19)^3-X^3 is a square.

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%I A145122 #14 Jul 22 2025 06:12:43
%S A145122 38,14383,4346478,1312624823,396408352918,119714009959263,
%T A145122 36153234599347358,10918157134992945703,3297247301533270257798,
%U A145122 995757766905912624912143,300715548358284079453212238
%N A145122 Numbers X such that (X+19)^3-X^3 is a square.
%H A145122 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (303,-303,1).
%F A145122 a(n+2)=302*a(n+1)-a(n)+2850
%F A145122 a(n)=19*A145124(n). G.f.: 19*x*(-2-151*x+3*x^2)/((x-1)*(x^2-302*x+1)). - _R. J. Mathar_, Oct 26 2009.
%e A145122 a(1)=38 because 57^3-38^3=361^2
%t A145122 LinearRecurrence[{303,-303,1},{38,14383,4346478},20] (* _Harvey P. Dale_, Sep 24 2016 *)
%K A145122 easy,nonn
%O A145122 1,1
%A A145122 _Richard Choulet_, Oct 02 2008