A145527 Numbers n such that there exists x in N : (x+91)^3-x^3=n^2.

8281, 12032293, 17494945741, 25437639075121, 36986309720280193, 53778068895648325501, 78193275187962944998261, 113692968345229226379145993, 165309497780688107192333275561, 240359896080152162628426203519701, 349483123591043463773624507584369693

Offset

1,1

Links

Table of n, a(n) for n=1..11.

Index entries for linear recurrences with constant coefficients, signature (1454,-1).

Formula

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

a(n) = A145529(n)*8281. - Colin Barker, Oct 20 2014

G.f.: -8281*x*(x-1) / (x^2-1454*x+1). - Colin Barker, Oct 20 2014

Example

a(1)=8281 because the first relation is (455+91)^3-455^3=8281^2.

Mathematica

LinearRecurrence[{1454, -1}, {8281, 12032293}, 15] (* Paolo Xausa, Jan 17 2024 *)

Prog

(PARI) Vec(-8281*x*(x-1)/(x^2-1454*x+1) + O(x^20)) \\ Colin Barker, Oct 20 2014

Crossrefs

Cf. A145529.

Sequence in context: A271748 A064014 A203881 * A054215 A031589 A031769

Adjacent sequences: A145524 A145525 A145526 * A145528 A145529 A145530

Keyword

easy,nonn

Author

Richard Choulet, Oct 12 2008

Extensions

Editing and more terms from Colin Barker, Oct 20 2014

Status

approved