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A145700
Numbers x such that there exists n in N with (x+1)^3-x^3=37*n^2.
1
3, 2068, 1220411, 720040716, 424822802323, 250644733330148, 147879967841985291, 87248930382037991836, 51476721045434573198243, 30371178167876016148971828, 17918943642325804093320180571, 10572146377794056539042757565356, 6237548443954851032231133643379763
OFFSET
1,1
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
KEYWORD
easy,nonn
AUTHOR
Richard Choulet, Oct 16 2008
EXTENSIONS
Editing and more terms from Colin Barker, Oct 18 2014
STATUS
approved