A145333 Numbers n such that there exists x in N : (x+43)^3-x^3=n^2.

12943, 436295587, 14707524224827, 495790641182622583, 16713102499558683048103, 563398684764332564368929547, 18992169646692548245317931981267, 640226038226607116585334922719581023, 21582019729626756253399091999559144304063

Offset

1,1

Links

Michael De Vlieger, Table of n, a(n) for n = 1..220

Index entries for linear recurrences with constant coefficients, signature (33710,-1).

Formula

a(n+2) = 33710*a(n+1)-a(n).

a(n) = 1849*A145335(n). - Colin Barker, Oct 20 2014

G.f.: -12943*x*(x-1) / (x^2-33710*x+1). - Colin Barker, Oct 19 2014

Example

a(1)=12943 because the first relation is : (1118+43)^3-1118^3=12943^2.

Mathematica

LinearRecurrence[{33710, -1}, {12943, 436295587}, 10] (* Paolo Xausa, Jan 17 2024 *)

Prog

(PARI) Vec(-12943*x*(x-1)/(x^2-33710*x+1) + O(x^20)) \\ Colin Barker, Oct 19 2014

Crossrefs

Cf. A145335.

Sequence in context: A086004 A090887 A246890 * A190468 A028385 A335742

Adjacent sequences: A145330 A145331 A145332 * A145334 A145335 A145336

Keyword

easy,nonn

Author

Richard Choulet, Oct 08 2008

Status

approved