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A041476 Numerators of continued fraction convergents to sqrt(254). 2
15, 16, 239, 255, 7889, 8144, 121905, 130049, 4023375, 4153424, 62171311, 66324735, 2051913361, 2118238096, 31707246705, 33825484801, 1046471790735, 1080297275536, 16170633648239, 17250930923775, 533698561361489, 550949492285264, 8246991453355185 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
FORMULA
G.f.: -(x^7-15*x^6+16*x^5-239*x^4-255*x^3-239*x^2-16*x-15) / (x^8-510*x^4+1). - Colin Barker, Nov 07 2013
a(n) = 510*a(n-4) - a(n-8). - Wesley Ivan Hurt, Apr 18 2022
MATHEMATICA
Numerator[Convergents[Sqrt[254], 30]] (* Vincenzo Librandi, Nov 03 2013 *)
LinearRecurrence[{0, 0, 0, 510, 0, 0, 0, -1}, {15, 16, 239, 255, 7889, 8144, 121905, 130049}, 30] (* Harvey P. Dale, Nov 27 2015 *)
CROSSREFS
Cf. A041477.
Sequence in context: A041474 A033051 A041111 * A041477 A041478 A042099
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 07 2013
STATUS
approved

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Last modified March 28 08:12 EDT 2024. Contains 371236 sequences. (Running on oeis4.)