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A042072
Numerators of continued fraction convergents to sqrt(560).
2
23, 24, 47, 71, 3313, 3384, 6697, 10081, 470423, 480504, 950927, 1431431, 66796753, 68228184, 135024937, 203253121, 9484668503, 9687921624, 19172590127, 28860511751, 1346756130673, 1375616642424, 2722372773097, 4097989415521, 191229885887063
OFFSET
0,1
FORMULA
G.f.: (23 +24*x +47*x^2 +71*x^3 +47*x^4 -24*x^5 +23*x^6 -x^7)/((1 -12x^2 +x^4)*(1 +12*x^2 +x^4)). [Bruno Berselli, Nov 15 2013]
MATHEMATICA
Numerator[Convergents[Sqrt[560], 30]] (* Vincenzo Librandi, Nov 15 2013 *)
CoefficientList[Series[(23 + 24 x + 47 x^2 + 71 x^3 + 47 x^4 - 24 x^5 + 23 x^6 - x^7)/(1 - 142 x^4 + x^8), {x, 0, 30}], x] (* Bruno Berselli, Nov 15 2013 *)
LinearRecurrence[{0, 0, 0, 142, 0, 0, 0, -1}, {23, 24, 47, 71, 3313, 3384, 6697, 10081}, 30] (* Harvey P. Dale, Aug 11 2019 *)
CROSSREFS
Cf. A042073.
Sequence in context: A042068 A042066 A042070 * A042064 A042062 A042060
KEYWORD
nonn,cofr,frac,easy,less
AUTHOR
STATUS
approved