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

Author

Richard Choulet, Oct 08 2008

Keywords

• easy
• nonn

Examples

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

Links

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

Programs

Mathematica

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

PARI

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

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

Extensions

Editing and more terms from Colin Barker, Oct 18 2014