A041860 Numerators of continued fraction convergents to sqrt(452).

21, 64, 85, 489, 1552, 16009, 49579, 263904, 313483, 1204353, 50896309, 153893280, 204789589, 1177841225, 3738313264, 38560973865, 119421234859, 635667148160, 755088383019, 2900932297217, 122594244866133, 370683666895616, 493277911761749, 2837073225704361

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,2408706,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^19 -21*x^18 +64*x^17 -85*x^16 +489*x^15 -1552*x^14 +16009*x^13 -49579*x^12 +263904*x^11 -313483*x^10 -1204353*x^9 -313483*x^8 -263904*x^7 -49579*x^6 -16009*x^5 -1552*x^4 -489*x^3 -85*x^2 -64*x -21) / ((x^10 -1552*x^5 -1)*(x^10 +1552*x^5 -1)). - Colin Barker, Nov 26 2013

Mathematica

Numerator[Convergents[Sqrt[452], 30]]  (* Vincenzo Librandi, Nov 11 2013 *)

Crossrefs

Cf. A041861, A040430.

Sequence in context: A300088 A033481 A041862 * A041864 A041866 A020211

Adjacent sequences: A041857 A041858 A041859 * A041861 A041862 A041863

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 26 2013

Status

approved