A041960 Numerators of continued fraction convergents to sqrt(503).

22, 45, 112, 157, 3409, 3566, 10541, 24648, 1095053, 2214754, 5524561, 7739315, 168050176, 175789491, 519629158, 1215047807, 53981732666, 109178513139, 272338758944, 381517272083, 8284201472687, 8665718744770, 25615638962227, 59896996669224, 2661083492408083

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,49296,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^15 -22*x^14 +45*x^13 -112*x^12 +157*x^11 -3409*x^10 +3566*x^9 -10541*x^8 -24648*x^7 -10541*x^6 -3566*x^5 -3409*x^4 -157*x^3 -112*x^2 -45*x -22) / (x^16 -49296*x^8 +1). - Colin Barker, Nov 28 2013

Mathematica

Numerator[Convergents[Sqrt[503], 30]] (* Vincenzo Librandi, Nov 12 2013 *)

Crossrefs

Cf. A041961, A040480.

Sequence in context: A195149 A291557 A165309 * A041958 A041962 A041964

Adjacent sequences: A041957 A041958 A041959 * A041961 A041962 A041963

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 28 2013

Status

approved