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Numbers n such that there exists x in N with (x+1)^3-x^3=37*n^2
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%I #12 Jan 03 2024 23:46:29

%S 1,589,347509,205029721,120967187881,71370435820069,42108436166652829,

%T 24843905967889349041,14657862412618549281361,

%U 8648113979538976186653949,5102372590065583331576548549,3010391180024714626653976989961,1776125693841991564142514847528441

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

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (590, -1).

%F a(n+2)=590*a(n+1)-a(n)

%F G.f.: (1-x)/(x^2-590*x+1) [From Harvey P. Dale, Sep 14 2011]

%t LinearRecurrence[{590,-1},{1,589},20] (* _Harvey P. Dale_, Sep 14 2011 *)

%K easy,nonn

%O 1,2

%A _Richard Choulet_, Oct 16 2008

%E More terms from Harvey P. Dale, Sep 14 2011