A145336 Numbers x such that there exists n in N : (x+1)^3-x^3=43*n^2.

26, 893341, 30114541938, 1015161207853493, 34221084286626723946, 1153592750287025656383021, 38887611577954550590044930818, 1310901385139255150103388961508613, 44190485654156679532030691302410430266, 1489661270090720281885499453700866642775101

Offset

1,1

Links

Table of n, a(n) for n=1..10.

Index entries for linear recurrences with constant coefficients, signature (33711,-33711,1).

Formula

a(n+2) = 33710*a(n+1)-a(n)+16854.

G.f.: x*(27*x^2-16855*x-26) / ((x-1)*(x^2-33710*x+1)). - Colin Barker, Oct 18 2014

Example

a(1)=26 because the first relation is : 27^3-26^3=43*7^2.

Mathematica

LinearRecurrence[{33711, -33711, 1}, {26, 893341, 30114541938}, 20] (* Harvey P. Dale, Mar 16 2023 *)

Prog

(PARI) Vec(x*(27*x^2-16855*x-26)/((x-1)*(x^2-33710*x+1)) + O(x^20)) \\ Colin Barker, Oct 18 2014

Crossrefs

Sequence in context: A265959 A112946 A034246 * A271246 A005084 A050454

Adjacent sequences: A145333 A145334 A145335 * A145337 A145338 A145339

Keyword

easy,nonn

Author

Richard Choulet, Oct 08 2008

Extensions

Editing and more terms from Colin Barker, Oct 18 2014

Status

approved