A041476 Numerators of continued fraction convergents to sqrt(254).

15, 16, 239, 255, 7889, 8144, 121905, 130049, 4023375, 4153424, 62171311, 66324735, 2051913361, 2118238096, 31707246705, 33825484801, 1046471790735, 1080297275536, 16170633648239, 17250930923775, 533698561361489, 550949492285264, 8246991453355185

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,510,0,0,0,-1).

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

Adjacent sequences: A041473 A041474 A041475 * A041477 A041478 A041479

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 07 2013

Status

approved