A041700 Numerators of continued fraction convergents to sqrt(370).

19, 77, 327, 12503, 50339, 213859, 8176981, 32921783, 139864113, 5347758077, 21530896421, 91471343761, 3497441959339, 14081239181117, 59822398683807, 2287332389165783, 9209151955346939, 39123940210553539, 1495918879956381421, 6022799460036079223

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,654,0,0,1).

Formula

G.f.: -(x^5-19*x^4+77*x^3+327*x^2+77*x+19) / (x^6+654*x^3-1). - Colin Barker, Nov 09 2013

Mathematica

Numerator[Convergents[Sqrt[370], 30]] (* Vincenzo Librandi, Nov 06 2013 *)
LinearRecurrence[{0, 0, 654, 0, 0, 1}, {19, 77, 327, 12503, 50339, 213859}, 30] (* Harvey P. Dale, Apr 22 2018 *)

Crossrefs

Cf. A040350, A041701.

Sequence in context: A244631 A304513 A041698 * A213832 A350194 A372757

Adjacent sequences: A041697 A041698 A041699 * A041701 A041702 A041703

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 09 2013

Status

approved