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A041326 Numerators of continued fraction convergents to sqrt(177). 2
13, 40, 133, 306, 2581, 5468, 18985, 62423, 1641983, 4988372, 16607099, 38202570, 322227659, 682657888, 2370201323, 7793261857, 204995009605, 622778290672, 2073329881621, 4769438053914, 40228834312933, 85227106679780, 295910154352273, 972957569736599 (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 (0,0,0,0,0,0,0,124846,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^15 -13*x^14 +40*x^13 -133*x^12 +306*x^11 -2581*x^10 +5468*x^9 -18985*x^8 -62423*x^7 -18985*x^6 -5468*x^5 -2581*x^4 -306*x^3 -133*x^2 -40*x -13) / (x^16 -124846*x^8 +1). - Colin Barker, Nov 10 2013

MATHEMATICA

Numerator[Convergents[Sqrt[177], 30]] (* Harvey P. Dale, Sep 07 2011 *)

CROSSREFS

Cf. A041327.

Sequence in context: A299816 A041324 A220083 * A319088 A041755 A229768

Adjacent sequences:  A041323 A041324 A041325 * A041327 A041328 A041329

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 10 2013

STATUS

approved

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Last modified September 16 09:08 EDT 2019. Contains 327093 sequences. (Running on oeis4.)