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

Author

Richard Choulet, Oct 12 2008, Oct 13 2008

Keywords

• easy
• nonn

Examples

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

Links

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

Programs

Mathematica

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

PARI

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

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

Extensions

Editing and more terms from Colin Barker, Oct 18 2014