A041326 Numerators of continued fraction convergents to sqrt(177).

13, 40, 133, 306, 2581, 5468, 18985, 62423, 1641983, 4988372, 16607099, 38202570, 322227659, 682657888, 2370201323, 7793261857, 204995009605, 622778290672, 2073329881621, 4769438053914, 40228834312933, 85227106679780, 295910154352273, 972957569736599

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