A041986 Numerators of continued fraction convergents to sqrt(516).

22, 23, 68, 91, 159, 2317, 2476, 4793, 12062, 16855, 753682, 770537, 2294756, 3065293, 5360049, 78105979, 83466028, 161572007, 406610042, 568182049, 25406620198, 25974802247, 77356224692, 103331026939, 180687251631, 2632952549773, 2813639801404

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,33710,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^19 -22*x^18 +23*x^17 -68*x^16 +91*x^15 -159*x^14 +2317*x^13 -2476*x^12 +4793*x^11 -12062*x^10 -16855*x^9 -12062*x^8 -4793*x^7 -2476*x^6 -2317*x^5 -159*x^4 -91*x^3 -68*x^2 -23*x -22) / (x^20 -33710*x^10 +1). - Colin Barker, Nov 28 2013

Mathematica

Numerator[Convergents[Sqrt[516], 30]] (* Vincenzo Librandi, Nov 13 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 33710, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1}, {22, 23, 68, 91, 159, 2317, 2476, 4793, 12062, 16855, 753682, 770537, 2294756, 3065293, 5360049, 78105979, 83466028, 161572007, 406610042, 568182049}, 30] (* Harvey P. Dale, Nov 10 2022 *)

Crossrefs

Cf. A041987, A040493.

Sequence in context: A041972 A041970 A041968 * A041988 A041984 A041982

Adjacent sequences: A041983 A041984 A041985 * A041987 A041988 A041989

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 28 2013

Status

approved