Numerators of the convergents of the continued fraction for sqrt(sqrt(2) - 1), the radius vector of the point of bisection of the arc of the unit lemniscate (x^2 + y^2)^2 = x^2 - y^2 in the first quadrant.

A154749

Numerators of the convergents of the continued fraction for sqrt(sqrt(2) - 1), the radius vector of the point of bisection of the arc of the unit lemniscate (x^2 + y^2)^2 = x^2 - y^2 in the first quadrant.

Terms

    a(0) =0a(1) =1a(2) =0a(3) =1a(4) =1a(5) =2a(6) =9a(7) =56a(8) =65a(9) =186a(10) =437a(11) =1060a(12) =1497a(13) =2557a(14) =16839a(15) =19396a(16) =3488723a(17) =160500654a(18) =163989377a(19) =324490031a(20) =1137459470a(21) =2599408971a(22) =3736868441a(23) =6336277412a(24) =22745700677a(25) =142810481474a(26) =451177145099a(27) =593987626573

External references