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A041580 Numerators of continued fraction convergents to sqrt(308). 2
17, 18, 35, 158, 193, 351, 12127, 12478, 24605, 110898, 135503, 246401, 8513137, 8759538, 17272675, 77850238, 95122913, 172973151, 5976210047, 6149183198, 12125393245, 54650756178, 66776149423, 121426905601, 4195290939857, 4316717845458, 8512008785315 (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 (0,0,0,0,0,702,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^11-17*x^10+18*x^9-35*x^8+158*x^7-193*x^6-351*x^5-193*x^4-158*x^3-35*x^2-18*x-17) / ((x^4-9*x^2+1)*(x^8+9*x^6+80*x^4+9*x^2+1)). - Colin Barker, Nov 09 2013

MATHEMATICA

Numerator[Convergents[Sqrt[308], 30]] (* Vincenzo Librandi, Nov 04 2013 *)

CROSSREFS

Cf. A041581.

Sequence in context: A041586 A041588 A041582 * A041578 A041592 A041594

Adjacent sequences:  A041577 A041578 A041579 * A041581 A041582 A041583

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 January 29 04:22 EST 2022. Contains 350672 sequences. (Running on oeis4.)