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A042068
Numerators of continued fraction convergents to sqrt(558).
2
23, 24, 47, 71, 118, 189, 874, 1063, 1937, 3000, 4937, 7937, 370039, 377976, 748015, 1125991, 1874006, 2999997, 13873994, 16873991, 30747985, 47621976, 78369961, 125991937, 5873999063, 5999991000, 11873990063, 17873981063, 29747971126, 47621952189
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15874, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^23 -23*x^22 +24*x^21 -47*x^20 +71*x^19 -118*x^18 +189*x^17 -874*x^16 +1063*x^15 -1937*x^14 +3000*x^13 -4937*x^12 -7937*x^11 -4937*x^10 -3000*x^9 -1937*x^8 -1063*x^7 -874*x^6 -189*x^5 -118*x^4 -71*x^3 -47*x^2 -24*x -23) / ((x^12 -126*x^6 +1)*(x^12 +126*x^6 +1)). - Colin Barker, Dec 01 2013
MATHEMATICA
Numerator[Convergents[Sqrt[558], 30]] (* Vincenzo Librandi, Nov 15 2013 *)
CROSSREFS
Sequence in context: A031332 A122470 A022393 * A042066 A042070 A042072
KEYWORD
nonn,cofr,frac,easy,less
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 01 2013
STATUS
approved