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A041640
Numerators of continued fraction convergents to sqrt(339).
2
18, 37, 92, 221, 313, 5542, 5855, 17252, 40359, 97970, 3567279, 7232528, 18032335, 43297198, 61329533, 1085899259, 1147228792, 3380356843, 7907942478, 19196241799, 698972647242, 1417141536283, 3533255719808, 8483652975899, 12016908695707, 212771100802918
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,195940,0,0,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^19 -18*x^18 +37*x^17 -92*x^16 +221*x^15 -313*x^14 +5542*x^13 -5855*x^12 +17252*x^11 -40359*x^10 -97970*x^9 -40359*x^8 -17252*x^7 -5855*x^6 -5542*x^5 -313*x^4 -221*x^3 -92*x^2 -37*x -18) / (x^20 -195940*x^10 +1). - Colin Barker, Nov 10 2013
MATHEMATICA
Numerator[Convergents[Sqrt[339], 30]] (* Vincenzo Librandi, Nov 06 2013 *)
CROSSREFS
Cf. A041641.
Sequence in context: A212428 A195147 A198276 * A041642 A041644 A041646
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 10 2013
STATUS
approved