A145700 Numbers x such that there exists n in N with (x+1)^3-x^3=37*n^2.

3, 2068, 1220411, 720040716, 424822802323, 250644733330148, 147879967841985291, 87248930382037991836, 51476721045434573198243, 30371178167876016148971828, 17918943642325804093320180571, 10572146377794056539042757565356, 6237548443954851032231133643379763

Offset

1,1

Links

Table of n, a(n) for n=1..13.

Index entries for linear recurrences with constant coefficients, signature (591,-591,1).

Formula

a(n+2) = 590*a(n+1)-a(n)+294.

G.f.: x*(4*x^2-295*x-3) / ((x-1)*(x^2-590*x+1)). - Colin Barker, Oct 18 2014

Mathematica

LinearRecurrence[{591, -591, 1}, {3, 2068, 1220411}, 15] (* Paolo Xausa, Jan 17 2024 *)

Prog

(PARI) Vec(x*(4*x^2-295*x-3)/((x-1)*(x^2-590*x+1)) + O(x^20)) \\ Colin Barker, Oct 18 2014

Crossrefs

Sequence in context: A102987 A004814 A203497 * A286978 A293086 A293099

Adjacent sequences: A145697 A145698 A145699 * A145701 A145702 A145703

Keyword

easy,nonn

Author

Richard Choulet, Oct 16 2008

Extensions

Editing and more terms from Colin Barker, Oct 18 2014

Status

approved