A145306 Numbers n such that there exists x in N : (x+79)^3-x^3=n^2.

118579, 54107716279, 24689459153421679, 11265849590570511254779, 5140629699851815967424745579, 2345679613290517479977275745934079, 1070338298898549077448739061453787370279, 488397506461660061524724013739508808887114179

Offset

1,1

Links

Table of n, a(n) for n=1..8.

Index entries for linear recurrences with constant coefficients, signature (456302,-1).

Formula

a(n+2) = 456302*a(n+1)-a(n);

G.f. -118579*x*(-1+x) / ( 1-456302*x+x^2 ). - R. J. Mathar, Nov 27 2011

Example

a(1)=118579 because the first relation is (7663+79)^3-7663^3=118579^2.

Mathematica

LinearRecurrence[{456302, -1}, {118579, 54107716279}, 10] (* Paolo Xausa, Jan 17 2024 *)

Prog

(PARI) Vec(-118579*x*(-1+x)/(1-456302*x+x^2) + O(x^30)) \\ Colin Barker, Oct 18 2014

Crossrefs

Cf. A145307.

Sequence in context: A235837 A235832 A111112 * A250370 A202285 A250829

Adjacent sequences: A145303 A145304 A145305 * A145307 A145308 A145309

Keyword

easy,nonn

Author

Richard Choulet, Oct 06 2008

Extensions

Editing and more terms from Colin Barker, Oct 18 2014

Status

approved