A145699 Numbers k such that there exists x in N with (x+1)^3-x^3 = 37*k^2.

1, 589, 347509, 205029721, 120967187881, 71370435820069, 42108436166652829, 24843905967889349041, 14657862412618549281361, 8648113979538976186653949, 5102372590065583331576548549, 3010391180024714626653976989961, 1776125693841991564142514847528441

Offset

1,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (590,-1).

Formula

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

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

Mathematica

LinearRecurrence[{590, -1}, {1, 589}, 20] (* Harvey P. Dale, Sep 14 2011 *)

Crossrefs

Sequence in context: A115487 A397192 A210894 * A203628 A204752 A320713

Adjacent sequences: A145696 A145697 A145698 * A145700 A145701 A145702

Keyword

easy,nonn

Author

Richard Choulet, Oct 16 2008

Extensions

More terms from Harvey P. Dale, Sep 14 2011

Status

approved