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A042432
Numerators of continued fraction convergents to sqrt(744).
2
27, 82, 109, 191, 300, 491, 791, 1282, 2073, 7501, 407127, 1228882, 1636009, 2864891, 4500900, 7365791, 11866691, 19232482, 31099173, 112530001, 6107719227, 18435687682, 24543406909, 42979094591, 67522501500, 110501596091, 178024097591, 288525693682
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,15002,0,0,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^19 -27*x^18 +82*x^17 -109*x^16 +191*x^15 -300*x^14 +491*x^13 -791*x^12 +1282*x^11 -2073*x^10 -7501*x^9 -2073*x^8 -1282*x^7 -791*x^6 -491*x^5 -300*x^4 -191*x^3 -109*x^2 -82*x -27) / (x^20 -15002*x^10 +1). - Colin Barker, Dec 14 2013
MATHEMATICA
Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[744], n]]], {n, 1, 50}] (* Artur Jasinski, Dec 20 2008 *)
Numerator[Convergents[Sqrt[744], 30]] (* Vincenzo Librandi, Nov 24 2013 *)
CROSSREFS
Sequence in context: A008884 A031455 A045004 * A042430 A195028 A042434
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 14 2013
STATUS
approved