A145530 Numbers x such that there exists n in N with (x+1)^3-x^3=91*n^2.

5, 8002, 11635629, 16918197290, 24599047224757, 35766997746600114, 52005190124509341725, 75615510674038836268762, 109944900514862343425438949, 159859809733099173301751963810, 232436053407025683118403929941517, 337961861794005610154986012383002634

Offset

1,1

Links

Table of n, a(n) for n=1..12.

Index entries for linear recurrences with constant coefficients, signature (1455,-1455,1).

Formula

a(n+2) = 1454*a(n+1)-a(n)+726.

G.f.: x*(6*x^2-727*x-5) / ((x-1)*(x^2-1454*x+1)). - Colin Barker, Oct 18 2014

Example

a(1)=5 because the first relation is (5+1)^3-5^3=91*1^2.

Mathematica

LinearRecurrence[{1455, -1455, 1}, {5, 8002, 11635629}, 15] (* Paolo Xausa, Jan 17 2024 *)

Prog

(PARI) Vec(x*(6*x^2-727*x-5)/((x-1)*(x^2-1454*x+1)) + O(x^20)) \\ Colin Barker, Oct 18 2014

Crossrefs

Sequence in context: A203689 A116140 A243235 * A067816 A076629 A052027

Adjacent sequences: A145527 A145528 A145529 * A145531 A145532 A145533

Keyword

easy,nonn

Author

Richard Choulet, Oct 12 2008, Oct 13 2008

Extensions

Editing and more terms from Colin Barker, Oct 18 2014

Status

approved