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

%I #12 Jan 03 2024 23:45:55

%S 1,1453,2112661,3071807641,4466406197353,6494151539143621,

%T 9442491871508627581,13729376687022005359153,

%U 19962504260438124283580881,29025467465300345686321241821,42203009732042442189786802026853,61363147124922245643604323825802441

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

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (1454,-1).

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

%F a(n) = A145527(n) / 8281. - _Colin Barker_, Oct 20 2014

%F G.f.: -x*(x-1) / (x^2-1454*x+1). - _Colin Barker_, Oct 20 2014

%o (PARI) Vec(-x*(x-1)/(x^2-1454*x+1) + O(x^20)) \\ _Colin Barker_, Oct 20 2014

%Y Cf. A145527.

%K easy,nonn

%O 1,2

%A _Richard Choulet_, Oct 12 2008

%E Editing and more terms from _Colin Barker_, Oct 20 2014