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A042066 Numerators of continued fraction convergents to sqrt(557). 2
23, 24, 47, 71, 118, 5499, 5617, 11116, 16733, 27849, 1297787, 1325636, 2623423, 3949059, 6572482, 306283231, 312855713, 619138944, 931994657, 1551133601, 72284140303, 73835273904, 146119414207, 219954688111, 366074102318, 17059363394739, 17425437497057 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 236, 0, 0, 0, 0, 1).

FORMULA

G.f.: (23 +24*x +47*x^2 +71*x^3 +118*x^4 +71*x^5 -47*x^6 +24*x^7 -23*x^8 +x^9)/(1 -236*x^5 -x^10). [Bruno Berselli, Nov 15 2013]

MATHEMATICA

Numerator[Convergents[Sqrt[557], 30]] (* Vincenzo Librandi, Nov 14 2013 *)

CoefficientList[Series[(23 + 24 x + 47 x^2 + 71 x^3 + 118 x^4 + 71 x^5 - 47 x^6 + 24 x^7 - 23 x^8 + x^9)/(1 - 236 x^5 - x^10), {x, 0, 30}], x] (* Bruno Berselli, Nov 15 2013 *)

CROSSREFS

Cf. A042067.

Sequence in context: A122470 A022393 A042068 * A042070 A042072 A042064

Adjacent sequences:  A042063 A042064 A042065 * A042067 A042068 A042069

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified February 19 22:38 EST 2019. Contains 320328 sequences. (Running on oeis4.)