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.

A145306 Numbers n such that there exists x in N : (x+79)^3-x^3=n^2.

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%I A145306 #16 Jan 17 2024 09:41:59
%S A145306 118579,54107716279,24689459153421679,11265849590570511254779,
%T A145306 5140629699851815967424745579,2345679613290517479977275745934079,
%U A145306 1070338298898549077448739061453787370279,488397506461660061524724013739508808887114179
%N A145306 Numbers n such that there exists x in N : (x+79)^3-x^3=n^2.
%H A145306 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (456302,-1).
%F A145306 a(n+2) = 456302*a(n+1)-a(n);
%F A145306 G.f. -118579*x*(-1+x) / ( 1-456302*x+x^2 ). - _R. J. Mathar_, Nov 27 2011
%e A145306 a(1)=118579 because the first relation is (7663+79)^3-7663^3=118579^2.
%t A145306 LinearRecurrence[{456302, -1}, {118579, 54107716279}, 10] (* _Paolo Xausa_, Jan 17 2024 *)
%o A145306 (PARI) Vec(-118579*x*(-1+x)/(1-456302*x+x^2) + O(x^30)) \\ _Colin Barker_, Oct 18 2014
%Y A145306 Cf. A145307.
%K A145306 easy,nonn
%O A145306 1,1
%A A145306 _Richard Choulet_, Oct 06 2008
%E A145306 Editing and more terms from _Colin Barker_, Oct 18 2014