A041690 Numerators of continued fraction convergents to sqrt(365).

19, 172, 191, 363, 3458, 131767, 1189361, 1321128, 2510489, 23915529, 911300591, 8225620848, 9136921439, 17362542287, 165399802022, 6302555019123, 56888394974129, 63190949993252, 120079344967381, 1143905054699681, 43588471423555259, 393440147866697012

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, 6916, 0, 0, 0, 0, 1).

Formula

G.f.: -(x^9-19*x^8+172*x^7-191*x^6+363*x^5+3458*x^4+363*x^3+191*x^2+172*x+19) / (x^10+6916*x^5-1). - Colin Barker, Nov 09 2013

Mathematica

Numerator[Convergents[Sqrt[365], 30]] (* Vincenzo Librandi, Nov 06 2013 *)

Crossrefs

Cf. A041691.

Sequence in context: A022614 A322878 A060222 * A217698 A172642 A133740

Adjacent sequences: A041687 A041688 A041689 * A041691 A041692 A041693

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 09 2013

Status

approved