login
A041234
Numerators of continued fraction convergents to sqrt(129).
2
11, 23, 34, 125, 159, 1079, 1238, 4793, 6031, 16855, 376841, 770537, 1147378, 4212671, 5360049, 36372965, 41733014, 161572007, 203305021, 568182049, 12703310099, 25974802247, 38678112346, 142009139285, 180687251631, 1226132649071, 1406819900702
OFFSET
0,1
LINKS
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 -11*x^18 +23*x^17 -34*x^16 +125*x^15 -159*x^14 +1079*x^13 -1238*x^12 +4793*x^11 -6031*x^10 -16855*x^9 -6031*x^8 -4793*x^7 -1238*x^6 -1079*x^5 -159*x^4 -125*x^3 -34*x^2 -23*x -11) / (x^20 -33710*x^10 +1). - Colin Barker, Nov 10 2013
MATHEMATICA
Numerator[Convergents[Sqrt[129], 30]] (* Vincenzo Librandi, Oct 31 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 33710, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1}, {11, 23, 34, 125, 159, 1079, 1238, 4793, 6031, 16855, 376841, 770537, 1147378, 4212671, 5360049, 36372965, 41733014, 161572007, 203305021, 568182049}, 30] (* Harvey P. Dale, Feb 06 2023 *)
CROSSREFS
Cf. A041235.
Sequence in context: A250215 A208326 A097657 * A041549 A136771 A017653
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 10 2013
STATUS
approved