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.

A145336 Numbers x such that there exists n in N : (x+1)^3-x^3=43*n^2.

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%I A145336 #13 Jan 06 2024 00:58:00
%S A145336 26,893341,30114541938,1015161207853493,34221084286626723946,
%T A145336 1153592750287025656383021,38887611577954550590044930818,
%U A145336 1310901385139255150103388961508613,44190485654156679532030691302410430266,1489661270090720281885499453700866642775101
%N A145336 Numbers x such that there exists n in N : (x+1)^3-x^3=43*n^2.
%H A145336 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (33711,-33711,1).
%F A145336 a(n+2) = 33710*a(n+1)-a(n)+16854.
%F A145336 G.f.: x*(27*x^2-16855*x-26) / ((x-1)*(x^2-33710*x+1)). - _Colin Barker_, Oct 18 2014
%e A145336 a(1)=26 because the first relation is : 27^3-26^3=43*7^2.
%t A145336 LinearRecurrence[{33711,-33711,1},{26,893341,30114541938},20] (* _Harvey P. Dale_, Mar 16 2023 *)
%o A145336 (PARI) Vec(x*(27*x^2-16855*x-26)/((x-1)*(x^2-33710*x+1)) + O(x^20)) \\ _Colin Barker_, Oct 18 2014
%K A145336 easy,nonn
%O A145336 1,1
%A A145336 _Richard Choulet_, Oct 08 2008
%E A145336 Editing and more terms from _Colin Barker_, Oct 18 2014