A042458 Numerators of continued fraction convergents to sqrt(757).

27, 28, 55, 963, 1018, 6053, 31283, 37336, 665995, 703331, 1369326, 74646935, 76016261, 150663196, 2637290593, 2787953789, 16577059538, 85673251479, 102250311017, 1823928538768, 1926178849785, 3750107388553, 204431977831647, 208182085220200, 412614063051847

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, 0, 2738652, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

G.f.: -(x^21 -27*x^20 +28*x^19 -55*x^18 +963*x^17 -1018*x^16 +6053*x^15 -31283*x^14 +37336*x^13 -665995*x^12 +703331*x^11 +1369326*x^10 +703331*x^9 +665995*x^8 +37336*x^7 +31283*x^6 +6053*x^5 +1018*x^4 +963*x^3 +55*x^2 +28*x +27) / (x^22 +2738652*x^11 -1). - Colin Barker, Dec 14 2013

Mathematica

Numerator[Convergents[Sqrt[757], 30]] (* Vincenzo Librandi, Nov 25 2013 *)

Crossrefs

Cf. A042459, A040729.

Sequence in context: A042464 A042462 A042460 * A141490 A242184 A042482

Adjacent sequences: A042455 A042456 A042457 * A042459 A042460 A042461

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 14 2013

Status

approved