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.

A145307 Numbers x such that there exists n in N : (x+79)^3-x^3=n^2.

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%I A145307 #15 Jan 03 2024 23:44:20
%S A145307 7663,3514673818,1603752710517223,731795569310933239378,
%T A145307 333919781866113706302166783,152368264304339620843780392200938,
%U A145307 69525943738264857888392566815788268343,31724827179505362919884965402334038047270498
%N A145307 Numbers x such that there exists n in N : (x+79)^3-x^3=n^2.
%H A145307 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (456303,-456303,1).
%F A145307 a(n+2) = 456302*a(n+1)-a(n)+18023850.
%F A145307 G.f.: 79*x*(-97-228151*x+98*x^2) / ( (x-1)*(x^2-456302*x+1) ). - _R. J. Mathar_, Nov 27 2011
%F A145307 a(n) = 79*A145309(n). - _R. J. Mathar_, Nov 27 2011
%e A145307 a(1)=7663 because the first relation is : (7663+79)^3-7663^3=118579^2.
%t A145307 LinearRecurrence[{456303,-456303,1},{7663,3514673818,1603752710517223},20] (* _Harvey P. Dale_, Dec 14 2017 *)
%o A145307 (PARI) Vec(79*x*(-97-228151*x+98*x^2)/((x-1)*(x^2-456302*x+1)) + O(x^30)) \\ _Colin Barker_, Oct 18 2014
%Y A145307 Cf. A145306.
%K A145307 easy,nonn
%O A145307 1,1
%A A145307 _Richard Choulet_, Oct 06 2008
%E A145307 Editing and additional term a(8) from _Colin Barker_, Oct 18 2014