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A041690 Numerators of continued fraction convergents to sqrt(365). 2
19, 172, 191, 363, 3458, 131767, 1189361, 1321128, 2510489, 23915529, 911300591, 8225620848, 9136921439, 17362542287, 165399802022, 6302555019123, 56888394974129, 63190949993252, 120079344967381, 1143905054699681, 43588471423555259, 393440147866697012 (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, 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

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Last modified December 4 16:41 EST 2022. Contains 358563 sequences. (Running on oeis4.)